lets party one more time
Task
The party is for 180 people. The students in the sports teams will need to buy bread. They know that:
1 loaf of bread will feed 9 people. Bread costs $3.40 including GST (15%) per loaf.
They need to buy 32 kilograms of sausages. They need to buy vegetarian and meat sausages in the ratio of 1:3
Vegetarian sausages cost $2 per kilogram and meat sausages cost $3 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 20 people. Tomato sauce usually costs $4.50 (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 25% of the total cost of the food and the parents will also pay 2/5 of the total cost.
There are 60 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 25% but will commit to an amount in the range of 22% to 28%. Investigate how this could impact on the amount students may have to pay.
The party is for 180 people. The students in the sports teams will need to buy bread. They know that:
1 loaf of bread will feed 9 people. Bread costs $3.40 including GST (15%) per loaf.
They need to buy 32 kilograms of sausages. They need to buy vegetarian and meat sausages in the ratio of 1:3
Vegetarian sausages cost $2 per kilogram and meat sausages cost $3 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 20 people. Tomato sauce usually costs $4.50 (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 25% of the total cost of the food and the parents will also pay 2/5 of the total cost.
There are 60 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 25% but will commit to an amount in the range of 22% to 28%. Investigate how this could impact on the amount students may have to pay.
solution
BREAD
The party is for 180 people. The students in the sports teams will need to buy bread. They know that:
1 loaf of bread will feed 9 people. Bread costs $3.40 including GST (15%) per loaf.
180/9 = 20 So 20 x $3.40 = $68
BREAD
The party is for 180 people. The students in the sports teams will need to buy bread. They know that:
1 loaf of bread will feed 9 people. Bread costs $3.40 including GST (15%) per loaf.
180/9 = 20 So 20 x $3.40 = $68
SAUSAGES
The amount required is 32 kg and they need vegetarian and meat in a ratio of 1:3
so 1/4 x 32 = 8 kg of vegetarian sausages
and 3/4 x 32 = 24 kg of meat sausages
COST:
8 x $2/kg = $16
24 x $3/kg = $72
TOTAL = $88
WITH DISCOUNT: = 0.9 x 125 = $79.20
The amount required is 32 kg and they need vegetarian and meat in a ratio of 1:3
so 1/4 x 32 = 8 kg of vegetarian sausages
and 3/4 x 32 = 24 kg of meat sausages
COST:
8 x $2/kg = $16
24 x $3/kg = $72
TOTAL = $88
WITH DISCOUNT: = 0.9 x 125 = $79.20
Sauce Bottles:
180/20 = 9 bottles
9 x 4.50 = $40.50
Remove GST of 15%
40.50/1.15 = $35.217
=$35.22
180/20 = 9 bottles
9 x 4.50 = $40.50
Remove GST of 15%
40.50/1.15 = $35.217
=$35.22