Hemi and Juliet get lost in London
TRIP TO LONDON FULL PRACTICE
Student instructions
Introduction
Hemi and Juliet are planning to travel to London for a holiday. They plan to be in London for two months, and during that time take a two week tour bus tour through Scotland and Wales.
This activity requires you to calculate the amount of money Hemi and Juliet will need to save for their trip and how long it will take them to save it.
Show your calculations. Use correct mathematical statements. Clearly communicate your strategy and method at each stage of the solution. You will be assessed on the quality of your discussion and reasoning, and how well you link this to the context.
Student instructions
Introduction
Hemi and Juliet are planning to travel to London for a holiday. They plan to be in London for two months, and during that time take a two week tour bus tour through Scotland and Wales.
This activity requires you to calculate the amount of money Hemi and Juliet will need to save for their trip and how long it will take them to save it.
Show your calculations. Use correct mathematical statements. Clearly communicate your strategy and method at each stage of the solution. You will be assessed on the quality of your discussion and reasoning, and how well you link this to the context.
Task
Use the following information to find out how much money Hemi and Juliet will need to save and how long it will take them to save it.
· Hemi and Juliet estimate that for each day they are in London, between them they will need on average NZ$150 when they are not on the bus trip.
· Hemi earns $609 each week. Juliet earns $773 each week. Hemi is able to save one quarter of his income and Juliet 45% of her income to put towards the trip.
· The cost for the return air tickets is $1900 each. There is a 2.5% surcharge for credit card payment
· The cost of travel insurance is $240 plus GST (15%) for the two of them.
· The two week bus trip costs £900 British pounds per person.
· British pounds are used as currency in England Scotland and Wales.
· The Exchange rate is: 1 NZ Dollar = 0.47 British pounds
Use the following information to find out how much money Hemi and Juliet will need to save and how long it will take them to save it.
· Hemi and Juliet estimate that for each day they are in London, between them they will need on average NZ$150 when they are not on the bus trip.
· Hemi earns $609 each week. Juliet earns $773 each week. Hemi is able to save one quarter of his income and Juliet 45% of her income to put towards the trip.
· The cost for the return air tickets is $1900 each. There is a 2.5% surcharge for credit card payment
· The cost of travel insurance is $240 plus GST (15%) for the two of them.
· The two week bus trip costs £900 British pounds per person.
· British pounds are used as currency in England Scotland and Wales.
· The Exchange rate is: 1 NZ Dollar = 0.47 British pounds
ACHIEVED
INCOME
Hemi's weekly savings:
1/4 x $609 = $152.25
Juliet's weekly savings:
45/100 x $773 = $347.85
Total weekly savings:
$152.25+$347.85=$500.10
The Bus Trip:
Two tickets
£900 x 2 = £1800.00
Convert to NZ dollars
1800/0.47=$3829.7872
=$3829.79
INCOME
Hemi's weekly savings:
1/4 x $609 = $152.25
Juliet's weekly savings:
45/100 x $773 = $347.85
Total weekly savings:
$152.25+$347.85=$500.10
The Bus Trip:
Two tickets
£900 x 2 = £1800.00
Convert to NZ dollars
1800/0.47=$3829.7872
=$3829.79
Merit:
EXPENSES:
Average daily spending:based on June and July
30+31 = 61 days at $150 per day but take off 14 days for the bus trip
61 - 14 = 47 days
47 x $150 = $7,050.00
Air Tickets: $1900 x 2 for two tickets
$1900 x 2 = $3800.00 plus 2.5% surcharge
3800 x 1.025 = $3895
Travel Insurance: ( This is for both of them so don't double it)
$240 x 15/100 = $36.00 or $240 x 1.15 = $276.0 (shortcut)
$240 + $36 = $276.00
Bus Trip Cost: (from Achieved)
$3829.79
Total Costs or Expenditure:
$3829.79+$3895.00 + $7,050.00 +$276.00 = $15050.79
Total weekly savings from Michael and Joe
$500.10
Time to save in weeks = Total Expenditure/Total Savings
= $15050.79/$500.10 = 30.11 weeks
Or 31 whole weeks
It will take them approximately 31 weeks to save for the trip
EXPENSES:
Average daily spending:based on June and July
30+31 = 61 days at $150 per day but take off 14 days for the bus trip
61 - 14 = 47 days
47 x $150 = $7,050.00
Air Tickets: $1900 x 2 for two tickets
$1900 x 2 = $3800.00 plus 2.5% surcharge
3800 x 1.025 = $3895
Travel Insurance: ( This is for both of them so don't double it)
$240 x 15/100 = $36.00 or $240 x 1.15 = $276.0 (shortcut)
$240 + $36 = $276.00
Bus Trip Cost: (from Achieved)
$3829.79
Total Costs or Expenditure:
$3829.79+$3895.00 + $7,050.00 +$276.00 = $15050.79
Total weekly savings from Michael and Joe
$500.10
Time to save in weeks = Total Expenditure/Total Savings
= $15050.79/$500.10 = 30.11 weeks
Or 31 whole weeks
It will take them approximately 31 weeks to save for the trip
Finally to secure the Excellence grade you need to comment on factors that might affect the time to save for the trip WITH supporting calculations. These could be short calculations that give an indication if more or less money is required. All answers should be linked to the context of the assessment. Put your thinking cap on and bring your ideas to class with you.
Michelle and Loris get Lost in Paris
TRIP TO PARIS - FULL PRACTICE
Student instructions
Introduction
Michelle and Loris are planning to travel to Paris for a holiday. They plan to be in Paris for 2 months. During that time they take a 2 week bus tour which will take them through Normandy, Brittany and Aquitaine.
This activity requires you to calculate the amount of money Michelle and Loris will need to save for their trip and how long it will take them to save it.
Show your calculations. Use correct mathematical statements. Clearly communicate your strategy and method at each stage of the solution. You will be assessed on the quality of your discussion and reasoning, and how well you link this to the context..
Student instructions
Introduction
Michelle and Loris are planning to travel to Paris for a holiday. They plan to be in Paris for 2 months. During that time they take a 2 week bus tour which will take them through Normandy, Brittany and Aquitaine.
This activity requires you to calculate the amount of money Michelle and Loris will need to save for their trip and how long it will take them to save it.
Show your calculations. Use correct mathematical statements. Clearly communicate your strategy and method at each stage of the solution. You will be assessed on the quality of your discussion and reasoning, and how well you link this to the context..
Task
Use the following information to find out how much money Michelle and Loris will need to save and how long it will take them to save it.
· Michelle and Loris estimate that for each day they are in Paris, between them they will need on average NZ$140 (to the nearest $40) when they are not on the bus trip.
· Michelle earns $517 each week. Loris earns $631 each week. Michelle is able to save two fifths of her income and Loris 36% of his income to put towards the trip.
· The cost for the return air tickets is $2100 each with a 2.5% surcharge.
· The cost of travel insurance is $411 plus GST (15%) for the two of them.
· The 2 week bus trip costs €1400 Euros per person.
· Euros are the currency used by the 17 member states of the EU which includes France.
· The Exchange rate is: 1 NZ Dollar = 0.60 Euros
Use the following information to find out how much money Michelle and Loris will need to save and how long it will take them to save it.
· Michelle and Loris estimate that for each day they are in Paris, between them they will need on average NZ$140 (to the nearest $40) when they are not on the bus trip.
· Michelle earns $517 each week. Loris earns $631 each week. Michelle is able to save two fifths of her income and Loris 36% of his income to put towards the trip.
· The cost for the return air tickets is $2100 each with a 2.5% surcharge.
· The cost of travel insurance is $411 plus GST (15%) for the two of them.
· The 2 week bus trip costs €1400 Euros per person.
· Euros are the currency used by the 17 member states of the EU which includes France.
· The Exchange rate is: 1 NZ Dollar = 0.60 Euros
ACHIEVED
Loris's weekly savings:
36/100 x $631 = $227.16
Michelle's weekly savings:
2/5 x $517 = $206.8
Total weekly savings:
$227.16+$206.8 = $433.96
The Bus Trip:
Two tickets
1400 x 2 = €2800
Convert to NZ dollars
2800/0.6=NZ$4666.666
= $4666.67
Loris's weekly savings:
36/100 x $631 = $227.16
Michelle's weekly savings:
2/5 x $517 = $206.8
Total weekly savings:
$227.16+$206.8 = $433.96
The Bus Trip:
Two tickets
1400 x 2 = €2800
Convert to NZ dollars
2800/0.6=NZ$4666.666
= $4666.67
MERIT:
Expenses:
Average daily spending: June/July
Number of days = 30 + 31 = 61 days but take off 14 days for the bus trip = 61 - 14 = 47 days
47 x $140 = $6580.00
Air Tickets:
$2100 x 2 for two tickets
2100 x 2 x 1.025= $4305
Travel Insurance with GST: ( This is for both of them so don't double it)
GST = $411 x 15/100 = $61.65 or $411 x 1.15 = $472.65 (shortcut)
$411+ $61.65 = $472.65
Bus Trip Cost: (from Achieved)
$4666.67
Total Costs or Expenditure:
$4666.67 + $4305 + $6580 + $472.65=$16024.32
Total weekly savings from above
$433.96
Time to save in weeks = Total Expenditure/Total Savings
= $16024.32/$433.96 = 36.93 weeks
Or 37 whole weeks
It will take them approximately 37 weeks to save for the trip
Expenses:
Average daily spending: June/July
Number of days = 30 + 31 = 61 days but take off 14 days for the bus trip = 61 - 14 = 47 days
47 x $140 = $6580.00
Air Tickets:
$2100 x 2 for two tickets
2100 x 2 x 1.025= $4305
Travel Insurance with GST: ( This is for both of them so don't double it)
GST = $411 x 15/100 = $61.65 or $411 x 1.15 = $472.65 (shortcut)
$411+ $61.65 = $472.65
Bus Trip Cost: (from Achieved)
$4666.67
Total Costs or Expenditure:
$4666.67 + $4305 + $6580 + $472.65=$16024.32
Total weekly savings from above
$433.96
Time to save in weeks = Total Expenditure/Total Savings
= $16024.32/$433.96 = 36.93 weeks
Or 37 whole weeks
It will take them approximately 37 weeks to save for the trip
Finally to secure the Excellence grade you need to comment on factors that might affect the time to save for the trip WITH supporting calculations. You could explore changes in their savings (think about what is happening in our country at the moment) and affects on our exchange rate. Don't want to give away too much! You have to think at this level.
Michael and Joe get Lost in America
Introduction
Michael and Joe are planning to travel to America for a holiday. They plan to be in America for three months, (Nov, Dec and Jan) and during that time take a two week bus tour through to San Francisco.
This activity requires you to calculate the maximum amount of money Michael and Joe will need to save for their trip and how long it will take them to save it.
Show your calculations. Use correct mathematical statements. Clearly communicate your strategy and method at each stage of the solution. You will be assessed on the quality of your discussion and reasoning, and how well you link this to the context.
Michael and Joe are planning to travel to America for a holiday. They plan to be in America for three months, (Nov, Dec and Jan) and during that time take a two week bus tour through to San Francisco.
This activity requires you to calculate the maximum amount of money Michael and Joe will need to save for their trip and how long it will take them to save it.
Show your calculations. Use correct mathematical statements. Clearly communicate your strategy and method at each stage of the solution. You will be assessed on the quality of your discussion and reasoning, and how well you link this to the context.
Task
Use the following information to find out how much money Michael and Joe will need to save and how long it will take them to save it.
· Michael and Joe estimate that for each day they are in America, between them they will need on average NZ$120 when they are not on the bus trip.
· Joe earns $517 each week. Michael earns $631 each week. Joe is able to save one fifth of his income and Michael 24% of his income to put towards the trip.
· The cost for the return air tickets is $1800 plus a 2% surcharge each.
· The cost of travel insurance is $185 plus GST (15%) for the two of them.
· The bus trip costs $456 American dollars per person.
· American dollars are used as currency in America.
· The Exchange rate is: 1 NZ Dollar = 0.66 American dollars
Use the following information to find out how much money Michael and Joe will need to save and how long it will take them to save it.
· Michael and Joe estimate that for each day they are in America, between them they will need on average NZ$120 when they are not on the bus trip.
· Joe earns $517 each week. Michael earns $631 each week. Joe is able to save one fifth of his income and Michael 24% of his income to put towards the trip.
· The cost for the return air tickets is $1800 plus a 2% surcharge each.
· The cost of travel insurance is $185 plus GST (15%) for the two of them.
· The bus trip costs $456 American dollars per person.
· American dollars are used as currency in America.
· The Exchange rate is: 1 NZ Dollar = 0.66 American dollars
ACHIEVED:
To achieve the 4 credits in this assessment you need to calculate the following amounts.
1) Calculate Joe's weekly savings.
1/5 x $517 = $103.40
2) Calculate Michael's weekly savings
24% of $560 = 24/100 x $631= $151.44
Total weekly savings = $254.84
3) Calculate the cost of the bus trip in $NZ (divide the US dollars by the exchange rate)
Two tickets therefore
2 x $456 = $912
$NZ = 912/0.66 = $1381.818 ...(rounding)
$1381.82
To achieve the 4 credits in this assessment you need to calculate the following amounts.
- use percentages to calculate Michael's weekly savings
- use fractions to calculate Joe's weekly savings
- use rates to find the cost of the bus trip in $NZ.
1) Calculate Joe's weekly savings.
1/5 x $517 = $103.40
2) Calculate Michael's weekly savings
24% of $560 = 24/100 x $631= $151.44
Total weekly savings = $254.84
3) Calculate the cost of the bus trip in $NZ (divide the US dollars by the exchange rate)
Two tickets therefore
2 x $456 = $912
$NZ = 912/0.66 = $1381.818 ...(rounding)
$1381.82
MERIT:
EXPENSES
Average daily spending
92 days at $120 per day but take off 14 days for the bus trip = 78 days
78 x 120 = $9360
Air Tickets
$1800 x 2 for two tickets
1800 x 2 x 1.02= $3,672
Travel Insurance and GST
GST $185 x 15/100 = $27.75 or $185 x 1.15 = $212.75 (shortcut)
$185 + $27.75 = $212.75
Bus Trip Cost (from Achieved)
$1381.82
Total Costs or Expenditure
$1381.82 + $3672 + $212.75 + $9350= $14626.57
Total weekly savings from above
$151.44 + $103.40 = $254.84
Time to save in weeks = Total Expenditure/Total Savings
= $14626.57 /$254.84 = 57.39 weeks
Or 58 whole weeks
It will take them approximately 58 weeks to save for the trip
EXPENSES
Average daily spending
92 days at $120 per day but take off 14 days for the bus trip = 78 days
78 x 120 = $9360
Air Tickets
$1800 x 2 for two tickets
1800 x 2 x 1.02= $3,672
Travel Insurance and GST
GST $185 x 15/100 = $27.75 or $185 x 1.15 = $212.75 (shortcut)
$185 + $27.75 = $212.75
Bus Trip Cost (from Achieved)
$1381.82
Total Costs or Expenditure
$1381.82 + $3672 + $212.75 + $9350= $14626.57
Total weekly savings from above
$151.44 + $103.40 = $254.84
Time to save in weeks = Total Expenditure/Total Savings
= $14626.57 /$254.84 = 57.39 weeks
Or 58 whole weeks
It will take them approximately 58 weeks to save for the trip
Finally to secure the Excellence grade you need to comment on factors that might affect the time to save for the trip WITH supporting calculations. These could be short calculations that give an indication if more or less money is required. All answers should be linked to the context of the assessment. Put your thinking cap on and bring your ideas to class with you.
Let's get Lost in O'Donnell island#2
Introduction
Michael and Joe are planning to travel to O'Donnell Island for a holiday. They plan to be in O'Dell Island for 2 months, and during that time take a two-week bus tour.
This activity requires you to calculate the amount of money Michael and Joe will need to save for their trip and how long it will take them to save it.
Show your calculations. Use correct mathematical statements. Clearly communicate your strategy and method at each stage of the solution. You will be assessed on the quality of your discussion and reasoning, and how well you link this to the context.
Task
Use the following information to find out how much money Michael and Joe will need to save and how long it will take them to save it.
Michael and Joe are planning to travel to O'Donnell Island for a holiday. They plan to be in O'Dell Island for 2 months, and during that time take a two-week bus tour.
This activity requires you to calculate the amount of money Michael and Joe will need to save for their trip and how long it will take them to save it.
Show your calculations. Use correct mathematical statements. Clearly communicate your strategy and method at each stage of the solution. You will be assessed on the quality of your discussion and reasoning, and how well you link this to the context.
Task
Use the following information to find out how much money Michael and Joe will need to save and how long it will take them to save it.
- Michael and Joe estimate that for each day they are in O'Donnell Island, between them they will need on average NZ$450 (to the nearest $50) when they are not on the bus trip.
- Joe earns $670 each week. Michael earns $460 each week. Joe is able to save three fifths of his income and Michael 15% of his income to put towards the trip.
- The cost for the return air tickets is $1560 each. They are purchased with a credit card with a surcharge of 1.5%
- The cost of travel insurance is $195 plus GST (15%) for the two of them.
- The two week bus trip costs $2500 O'Donnell Island dollars per person.
- O'Donnell Island dollars are used as currency in O'Donnell Island.
- The Exchange rate is: 1 NZ Dollar = 0.78 O'Donnell Island dollars
ACHIEVED:
INCOME
Joe's weekly savings:
3/5 x $670 = $402.00
Michael's weekly savings:
15/100 x $460 = $69.00
Total weekly savings:
$402.00+$69.00=$471.00
The Bus Trip:
Two tickets
$2500 x 2 = $5000.00
Convert to NZ dollars
5000/0.78=$6410.2564
= $6410.26
6410.26 x 1.015 = $6506.41
INCOME
Joe's weekly savings:
3/5 x $670 = $402.00
Michael's weekly savings:
15/100 x $460 = $69.00
Total weekly savings:
$402.00+$69.00=$471.00
The Bus Trip:
Two tickets
$2500 x 2 = $5000.00
Convert to NZ dollars
5000/0.78=$6410.2564
= $6410.26
6410.26 x 1.015 = $6506.41
Merit:
EXPENSES:
Average daily spending:
8 weeks = 8 x 7 = 56 days at $450 per day but take off 14 days for the bus trip
56 - 14 = 42 days
42 x $450 = $18,900.00
Air Tickets:
$1560 x 2 for two tickets
1560 x 2 = $3120
Travel Insurance: ( This is for both of them so don't double it)
$195 x 15/100 = $29.25 or $195 x 1.15 = $224.25 (shortcut)
$195+ $29.25 = $224.25
Bus Trip Cost: (from Achieved)
$6410.26
Total Costs or Expenditure:
$6410.26+$3120 + $18,900.00 +$224.25 = $28654.51
Total weekly savings from Michael and Joe
$471.00
Time to save in weeks = Total Expenditure/Total Savings
= $28654.51/$471.00 = 60.84
Or 61 whole weeks
It will take them approximately 61 weeks to save for the trip
EXPENSES:
Average daily spending:
8 weeks = 8 x 7 = 56 days at $450 per day but take off 14 days for the bus trip
56 - 14 = 42 days
42 x $450 = $18,900.00
Air Tickets:
$1560 x 2 for two tickets
1560 x 2 = $3120
Travel Insurance: ( This is for both of them so don't double it)
$195 x 15/100 = $29.25 or $195 x 1.15 = $224.25 (shortcut)
$195+ $29.25 = $224.25
Bus Trip Cost: (from Achieved)
$6410.26
Total Costs or Expenditure:
$6410.26+$3120 + $18,900.00 +$224.25 = $28654.51
Total weekly savings from Michael and Joe
$471.00
Time to save in weeks = Total Expenditure/Total Savings
= $28654.51/$471.00 = 60.84
Or 61 whole weeks
It will take them approximately 61 weeks to save for the trip
Finally to secure the Excellence grade you need to comment on factors that might affect the time to save for the trip WITH supporting calculations. These could be short calculations that give an indication if more or less money is required. All answers should be linked to the context of the assessment. Put your thinking cap on and bring your ideas to class with you.
For the Excellence grade you might find the calendar below useful in planning your trip in terms of days per month rather than days per week. There is a difference! You can also use it for the Merit grade.
Let's get lost in spain
Introduction
Jan and Maria are planning to travel to Spain for a holiday. They plan to be in Spain for two months), and during that time take a three week bus tour through Barcelona and Valencia.
This activity requires you to calculate the maximum amount of money Jan and Maria will need to save for their trip and how long it will take them to save it.
Show your calculations. Use correct mathematical statements. Clearly communicate your strategy and method at each stage of the solution. You will be assessed on the quality of your discussion and reasoning, and how well you link this to the context. If you are considering excellence, read the excellence section first - might save you some time.
Task
Use the following information to find out how much money Jan and Maria will need to save and how long it will take them to save it.
Jan and Maria are planning to travel to Spain for a holiday. They plan to be in Spain for two months), and during that time take a three week bus tour through Barcelona and Valencia.
This activity requires you to calculate the maximum amount of money Jan and Maria will need to save for their trip and how long it will take them to save it.
Show your calculations. Use correct mathematical statements. Clearly communicate your strategy and method at each stage of the solution. You will be assessed on the quality of your discussion and reasoning, and how well you link this to the context. If you are considering excellence, read the excellence section first - might save you some time.
Task
Use the following information to find out how much money Jan and Maria will need to save and how long it will take them to save it.
- Jan and Maria estimate that for each day they are in Spain, between them they will need on average NZ$200 (to the nearest $50) when they are not on the bus trip.
- Jan earns $1081 each week. Maria earns $881 each week. Jan is able to save two fifths of his income and Maria, 38% of her income to put towards the trip.
- The cost for the return air tickets is $1100 each plus a 1.5% surcharge.
- The cost of travel insurance is $295 plus GST (15%) for the two of them.
- The three week bus trip costs 1550 Euros per person.
- Euros are used as currency in Spain.
- The Exchange rate is: 1 NZ Dollar = 0.60 Euros
ACHIEVED
INCOME
Jan's weekly savings:
2/5 x $1081 = $432.4
Maria's weekly savings:
38/100 x $881 = $334.78
Total weekly savings:
$432.40+$334.78=$767.18
The Bus Trip:
Two tickets
$1550 x 2 = $3100.00
Convert to NZ dollars
3100/0.6=5166.6667
= $5166.67
Merit:
EXPENSES:
Average daily spending:
2 months DEC/JAN = 62 days but take off 21 days for the bus trip
62 - 21 = 41 days
To within $50
Daily allowance = $224
41 x $200 = $9184.00
Air Tickets:
$1100 x 2 for two tickets
1100 x 2 x 1.015= $2233
Travel Insurance: ( This is for both of them so don't double it)
$295 x 15/100 = $44.25 or $295 x 1.15 = $339.25 (shortcut)
$295+ $44.25 = $339.25
Bus Trip Cost: (from Achieved)
$5166.67
Total Costs or Expenditure:
$5166.67+$2233 + $9184 +$339.25 = $
Total weekly savings from Jan and Maria
$767.18
Time to save in weeks = Total Expenditure/Total Savings
= $14705.92/$767.18 = 19.17 weeks
Or 20 whole weeks
It will take them approximately 20 weeks to save for the trip
Finally to secure the Excellence grade you need to comment on factors that might affect the time to save for the trip WITH supporting calculations. These could be short calculations that give an indication if more or less money is required. All answers should be linked to the context of the assessment. Put your thinking cap on and bring your ideas to class with you.
INCOME
Jan's weekly savings:
2/5 x $1081 = $432.4
Maria's weekly savings:
38/100 x $881 = $334.78
Total weekly savings:
$432.40+$334.78=$767.18
The Bus Trip:
Two tickets
$1550 x 2 = $3100.00
Convert to NZ dollars
3100/0.6=5166.6667
= $5166.67
Merit:
EXPENSES:
Average daily spending:
2 months DEC/JAN = 62 days but take off 21 days for the bus trip
62 - 21 = 41 days
To within $50
Daily allowance = $224
41 x $200 = $9184.00
Air Tickets:
$1100 x 2 for two tickets
1100 x 2 x 1.015= $2233
Travel Insurance: ( This is for both of them so don't double it)
$295 x 15/100 = $44.25 or $295 x 1.15 = $339.25 (shortcut)
$295+ $44.25 = $339.25
Bus Trip Cost: (from Achieved)
$5166.67
Total Costs or Expenditure:
$5166.67+$2233 + $9184 +$339.25 = $
Total weekly savings from Jan and Maria
$767.18
Time to save in weeks = Total Expenditure/Total Savings
= $14705.92/$767.18 = 19.17 weeks
Or 20 whole weeks
It will take them approximately 20 weeks to save for the trip
Finally to secure the Excellence grade you need to comment on factors that might affect the time to save for the trip WITH supporting calculations. These could be short calculations that give an indication if more or less money is required. All answers should be linked to the context of the assessment. Put your thinking cap on and bring your ideas to class with you.
let's get lost in japan
Introduction
Sakura and Asahi are planning to travel to Japan to visit family there. They plan to be in Japan for two months, and during that time take a three week tour around Japan by train.
This activity requires you to calculate the amount of money Sakura and Asahi will need to save for their trip and how long it will take them to save it.
Show your calculations. Use correct mathematical statements. Clearly communicate your strategy and method at each stage of the solution. You will be assessed on the quality of your discussion and reasoning, and how well you link this to the context. If you are considering excellence, read the excellence section first - might save you some time.
Task
Use the following information to find out how much money Sakura and Asahi will need to save and how long it will take them to save it.
Sakura and Asahi are planning to travel to Japan to visit family there. They plan to be in Japan for two months, and during that time take a three week tour around Japan by train.
This activity requires you to calculate the amount of money Sakura and Asahi will need to save for their trip and how long it will take them to save it.
Show your calculations. Use correct mathematical statements. Clearly communicate your strategy and method at each stage of the solution. You will be assessed on the quality of your discussion and reasoning, and how well you link this to the context. If you are considering excellence, read the excellence section first - might save you some time.
Task
Use the following information to find out how much money Sakura and Asahi will need to save and how long it will take them to save it.
- Sakura and Asahi estimate that for each day they are in Japan, between them they will need on average NZ$180 (to the nearest $40) when they are not on the tour.
- Sakura earns $740 each week. Asahi earns $690 each week. Sakura is able to save three fifths of her income and Asahi, 64% of his income to put towards the trip.
- The cost for the return air tickets is $1200 each. There is a 2.5% surcharge on their credit card for the purchase
- The cost of travel insurance is $335 plus GST (15%) for the two of them.
- The three week tour costs 383150 Japanese Yen per person.
- Yen are used as currency in Japan.
- The Exchange rate is: 1 NZ Dollar = 76.63 Yen
ACHIEVED
INCOME
Sakura's weekly savings:
3/5 x $740 = $444.00
Asahi's weekly savings:
64/100 x $690 = $441.60
Total weekly savings:
$444+$441.6=$885.60
The Tour:
Two tickets
383150 x 2 = 766300 yen
Convert to NZ dollars
766300/76.63=$10000
INCOME
Sakura's weekly savings:
3/5 x $740 = $444.00
Asahi's weekly savings:
64/100 x $690 = $441.60
Total weekly savings:
$444+$441.6=$885.60
The Tour:
Two tickets
383150 x 2 = 766300 yen
Convert to NZ dollars
766300/76.63=$10000
Merit:
EXPENSES:
Average daily spending:
They are going during the Christmas holidays so they choose December and January to maximize their daily spend, that is 31 day x 2 = 62 days - bus trip of 21 days
To the nearest $40 is 180 +19 = $199
41 x $199 = $8159
Air Tickets:
$1200 x 2 for two tickets
$1200 x 2 = $2400.00 x 1.025
=$2460
Travel Insurance: ( This is for both of them so don't double it)
$335 x 15/100 = $50.25 or $335 x 1.15 = $385.25 (shortcut)
$335+ $50.25 = $385.25
The Tour: (from Achieved)
$10000
Total Costs or Expenditure:
$8159.00+$2460.00 + $10000 +$385.25 = $21004.25
Total weekly savings from Sakura and Asahi
$885.60
Time to save in weeks = Total Expenditure/Total Savings
= $21004.25/$885.60 = 23.7 weeks
Or 24 whole weeks
It will take them approximately 24 weeks to save for their trip
EXPENSES:
Average daily spending:
They are going during the Christmas holidays so they choose December and January to maximize their daily spend, that is 31 day x 2 = 62 days - bus trip of 21 days
To the nearest $40 is 180 +19 = $199
41 x $199 = $8159
Air Tickets:
$1200 x 2 for two tickets
$1200 x 2 = $2400.00 x 1.025
=$2460
Travel Insurance: ( This is for both of them so don't double it)
$335 x 15/100 = $50.25 or $335 x 1.15 = $385.25 (shortcut)
$335+ $50.25 = $385.25
The Tour: (from Achieved)
$10000
Total Costs or Expenditure:
$8159.00+$2460.00 + $10000 +$385.25 = $21004.25
Total weekly savings from Sakura and Asahi
$885.60
Time to save in weeks = Total Expenditure/Total Savings
= $21004.25/$885.60 = 23.7 weeks
Or 24 whole weeks
It will take them approximately 24 weeks to save for their trip
For excellence
1) explore what might happen should the NZ dollar get stronger. You should explain that as the dollar strengthens, the exchange rate also increases and so lowers the cost of the bus trip. If the exchange rate changes significantly then this could affect the time to save. Back up your answer with adjusted calculations.
2) Would paying by cash or eftpos reduce the time to save at all, you could explore that option with calculations.
3) How might a loss in income affect the time to save?
If your choices don't seem to affect the time to save very much you can simply state that fact.
1) explore what might happen should the NZ dollar get stronger. You should explain that as the dollar strengthens, the exchange rate also increases and so lowers the cost of the bus trip. If the exchange rate changes significantly then this could affect the time to save. Back up your answer with adjusted calculations.
2) Would paying by cash or eftpos reduce the time to save at all, you could explore that option with calculations.
3) How might a loss in income affect the time to save?
If your choices don't seem to affect the time to save very much you can simply state that fact.
get lost in russia
Introduction
Dmitry and Czarina are planning to travel to Russia to visit family there. They plan to be in Russia for three months, and during that time take a three week tour around Russia by bus.
This activity requires you to calculate the amount of money Dmitry and Czarina will need to save for their trip and how long it will take them to save it.
Show your calculations. Use correct mathematical statements. Clearly communicate your strategy and method at each stage of the solution. You will be assessed on the quality of your discussion and reasoning, and how well you link this to the context. If you are considering excellence, read the excellence section first - might save you some time.
Task
Use the following information to find out how much money Dmitry and Czarina will need to save and how long it will take them to save it.
Dmitry and Czarina are planning to travel to Russia to visit family there. They plan to be in Russia for three months, and during that time take a three week tour around Russia by bus.
This activity requires you to calculate the amount of money Dmitry and Czarina will need to save for their trip and how long it will take them to save it.
Show your calculations. Use correct mathematical statements. Clearly communicate your strategy and method at each stage of the solution. You will be assessed on the quality of your discussion and reasoning, and how well you link this to the context. If you are considering excellence, read the excellence section first - might save you some time.
Task
Use the following information to find out how much money Dmitry and Czarina will need to save and how long it will take them to save it.
- Dmitry and Czarina estimate that for each day they are in Russia, between them they will need on average NZ$150 (to the nearest $20) when they are not on the tour.
- Dmitry earns $1060 each week. Czarina earns $990 each week. Dmitry is able to save one fifth of his income and Czarina, 32% of her income to put towards the trip.
- The cost for the return air tickets is $1900 each.
- The cost of travel insurance is $425 plus GST (15%) for the two of them.
- The three week tour costs 130732 Russian Rubles per person.
- Rubles are used as currency in Russia.
- The Exchange rate is: 1 NZ Dollar = 46.69 Ruble
ACHIEVED
INCOME
Dmitry's weekly savings:
1/5 x $1060 = $212.00
Czarina's weekly savings:
32/100 x $990 = $316.8
Total weekly savings:
$212+$316.8=$528.8
The Tour:
Two tickets
130732 x 2 = 261464 Rubles
Convert to NZ dollars
261464/46.69=$5600.00
INCOME
Dmitry's weekly savings:
1/5 x $1060 = $212.00
Czarina's weekly savings:
32/100 x $990 = $316.8
Total weekly savings:
$212+$316.8=$528.8
The Tour:
Two tickets
130732 x 2 = 261464 Rubles
Convert to NZ dollars
261464/46.69=$5600.00
Merit:
EXPENSES:
Average daily spending:
12 weeks - 3weeks for the bus trip = 9 weeks
9 x 7 = 63 days
63 x $150 = $9,450.00
Air Tickets:
$1900 x 2 for two tickets
$1900 x 2 = $3800.00
Travel Insurance: ( This is for both of them so don't double it)
$425 x 15/100 = $63.75 or $425 x 1.15 = $488.75 (shortcut)
$425 + $63.75 = $488.75
The Tour: (from Achieved)
$5600
Total Costs or Expenditure:
$9,450.00 +$3800.00 + $5600.00 +$488.75 = $19338.75
Total weekly savings
$528.80
Time to save in weeks = Total Expenditure/Total Savings
= $19338.75/$528.80 = 36.57
Or 37 whole weeks
It will take them approximately 37 weeks to save for the trip
.
EXPENSES:
Average daily spending:
12 weeks - 3weeks for the bus trip = 9 weeks
9 x 7 = 63 days
63 x $150 = $9,450.00
Air Tickets:
$1900 x 2 for two tickets
$1900 x 2 = $3800.00
Travel Insurance: ( This is for both of them so don't double it)
$425 x 15/100 = $63.75 or $425 x 1.15 = $488.75 (shortcut)
$425 + $63.75 = $488.75
The Tour: (from Achieved)
$5600
Total Costs or Expenditure:
$9,450.00 +$3800.00 + $5600.00 +$488.75 = $19338.75
Total weekly savings
$528.80
Time to save in weeks = Total Expenditure/Total Savings
= $19338.75/$528.80 = 36.57
Or 37 whole weeks
It will take them approximately 37 weeks to save for the trip
.