let's party again
Task
The party is for 200 people. The students in the sports teams will need to buy bread. They know that:
1 loaf of bread will feed 10 people. Bread costs $1.50 including GST (15%) per loaf.
They need to buy 35 kilograms of sausages. They need to buy vegetarian and meat sausages in the ratio of 3:4
Vegetarian sausages cost $3 per kilogram and meat sausages cost $4 per kilogram.
These prices include GST (15%). The butcher will discount both type of sausages by 10%.
They will need to buy tomato sauce. They know that 1 bottle of sauce will feed 15 people. Tomato sauce usually costs $3.20 (including GST) per bottle.
The local dairy has offered to supply these source bottles at a price that excludes GST (15%).
The school have offered to pay 20% of the total cost of the food and the parents will also pay 1/4 of the total cost.
There are 80 students in the sports teams and they will share equally the remaining cost.
1) Calculate how much each student will have to pay in order to just cover the cost.
2) The school are not certain they will able to pay exactly 20% but will commit to an amount in the range of 18% to 22%. Investigate how this could impact on the amount students may have to pay.
The party is for 200 people. The students in the sports teams will need to buy bread. They know that:
1 loaf of bread will feed 10 people. Bread costs $1.50 including GST (15%) per loaf.
They need to buy 35 kilograms of sausages. They need to buy vegetarian and meat sausages in the ratio of 3:4
Vegetarian sausages cost $3 per kilogram and meat sausages cost $4 per kilogram.
These prices include GST (15%). The butcher will discount both type of sausages by 10%.
They will need to buy tomato sauce. They know that 1 bottle of sauce will feed 15 people. Tomato sauce usually costs $3.20 (including GST) per bottle.
The local dairy has offered to supply these source bottles at a price that excludes GST (15%).
The school have offered to pay 20% of the total cost of the food and the parents will also pay 1/4 of the total cost.
There are 80 students in the sports teams and they will share equally the remaining cost.
1) Calculate how much each student will have to pay in order to just cover the cost.
2) The school are not certain they will able to pay exactly 20% but will commit to an amount in the range of 18% to 22%. Investigate how this could impact on the amount students may have to pay.
BREAD
The party is for 200 people. The students in the sports teams will need to buy bread. They know that:
1 loaf of bread will feed 10 people. Bread costs $1.50 including GST (15%) per loaf.
200/10 = 20 So 20 x $1.50 = $30
SAUSAGES
The amount required is 35 kg and they need vegetarian and meat in a ratio of 3:4
so 3/7 x 35 = 15 kg of vegetarian sausages
and 4/7 x 35 = 20 kg of meat sausages
COST:
15 x $3/kg = $45
20 x $4/kg = $80
TOTAL COST: = $125
WITH DISCOUNT: = 0.9 x 125 = $112.50
The amount required is 35 kg and they need vegetarian and meat in a ratio of 3:4
so 3/7 x 35 = 15 kg of vegetarian sausages
and 4/7 x 35 = 20 kg of meat sausages
COST:
15 x $3/kg = $45
20 x $4/kg = $80
TOTAL COST: = $125
WITH DISCOUNT: = 0.9 x 125 = $112.50
Sauce Bottles:
200/15 = 13.33 which rounds up to 14 bottles
14 x 3.20 = $44.80
Remove GST of 15%
44.80/1.15 = $38.9565
=$38.96
TOTAL COST: Bread + Sauce + Sausages = 30 + 112.5 + 38.96
= $181.96
= $181.96
School and parent discounts
School will pay 20%
0.2 x 181.96 = $36.39
Parent discount of 1/4 x 181.96
0.25 x 181.96 = $45.49
Therefore the total cost = 181.96 - (36.39 + 45.49)
= $100.08
and cost per student
=100.08/80
=$1.25
School will pay 20%
0.2 x 181.96 = $36.39
Parent discount of 1/4 x 181.96
0.25 x 181.96 = $45.49
Therefore the total cost = 181.96 - (36.39 + 45.49)
= $100.08
and cost per student
=100.08/80
=$1.25
School and family discounts