The barbecue
Sixty students are hosting a Cultural Awards barbecue for 240 people.
They need to buy sausages, bread, tomato sauce and cordial.
One kilogram of sausages will feed six people.
Sausages are $11 per kg, and the butcher will give the students a 15% discount.
One loaf of bread will feed 10 people. Bread costs $1.50 per loaf.
One bottle of tomato sauce will be enough for 15 people, and costs $4.50 per bottle.
The cordial costs $3.50 per 750 mL bottle. It needs to be diluted in the ratio
1 part cordial: 10 parts water. Each person needs 200 mL of cordial.
The school's Board of Trustees (BOT) will pay 20% of the cost of the food and drink.
The Parents Association will pay 31/3 of the cost of the food and drink.
The 60 students will share the balance of the cost of the food and drink.
Calculate exactly how much each student will have to pay to just cover the cost of the food.
State clearly any assumptions that you make and explain your reasoning. You should
show all your working clearly.