Let's get lost in Samoa
Lagi and Va’iga are planning a trip to Lufi-lufi in Samoa to visit their grandparents. They will be there for two months. They will also book a 2 week fishing charter boat cruise.
This activity requires you to calculate the maximum amount of money Lagi and Va’iga 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.
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.
- Lagi and Va’iga estimate that for each day they are in Samoa but not on the fishing boat, they will need on average NZ$120 to within $40
- Lagi earns $608 per week and Va’iga earns $1040 per week. Lagi can save ⅜ of her weekly income and Va’iga can save 40% of his weekly income.
- Air tickets cost $1200 each with a 2.5% surcharge if paid by credit card
- Travel insurance for the two of them is $420 plus GST of 15%.
- The fishing charter boat based in Apia costs $1795 Samoan dollars (each).
- Samoan dollars are used as currency in Samoa.
- The exchange rate is: NZ$1 = 1.74 Samoan Dollars.
Calculate the maximum amount that they can save each week and how long it will take them to save it.
Lagi's savings: 3/8 x 608 = $228
Va'iga's savings: 0.4 x 1040 = $416
Total savings: $644
Va'iga's savings: 0.4 x 1040 = $416
Total savings: $644
They could travel over the months of June and July (our winter).
This gives 30 + 31 = 61 days then take off the 14 days for the fishing cruise.
61 - 14 = 47 days. The maximum daily allowance is $120 so 120 x 47 = $5640
Maximum daily allowance = $5640
Air tickets: 1200 x 2 x 1.025 = $2460
Insurance: 420 x 1.15 = $483
Boat Cruise: = 1795 x 2
1.74
= $2063.22
This gives 30 + 31 = 61 days then take off the 14 days for the fishing cruise.
61 - 14 = 47 days. The maximum daily allowance is $120 so 120 x 47 = $5640
Maximum daily allowance = $5640
Air tickets: 1200 x 2 x 1.025 = $2460
Insurance: 420 x 1.15 = $483
Boat Cruise: = 1795 x 2
1.74
= $2063.22
Total Costs = = $10646.22
Time to save = total costs / total savings =
2460 + 5640 + 483 + 2063.22
644
$10646.22
644
= 16.53 or 17 weeks
It will take them about 17 whole weeks to save for their trip.
Time to save = total costs / total savings =
2460 + 5640 + 483 + 2063.22
644
$10646.22
644
= 16.53 or 17 weeks
It will take them about 17 whole weeks to save for their trip.