the football boosters bought pizza for $900 to sell at the game. they kept 10 pizzas to feed the players after the game and sold the rest for $1040. there were 8 slices in each pizza. their profit was 50 cents a slice.
a) how many pizzas were in the original order?
b) what was the original price of each pizza?
c) what did they charge per slice?
d) if they bought plain cheese pizza, the original price would be $10 per pizza. What would this make their profit be per slice if they sold it for the same price as before and still saved 10 pizzas for the players?
a) The boosters bought 10 pizzas to keep for the players, so the total number of pizzas in the original order is:
Total pizzas = 10 pizzas + pizzas sold
Total pizzas = 10 pizzas + (1040 - 900)/10 = 10 pizzas + 14 pizzas = 24 pizzas
b) The original price of each pizza can be calculated by dividing the total cost of pizza by the total number of pizzas:
Original price per pizza = $900 / 24 pizzas = $37.50
c) The price per slice can be calculated by dividing the original price per pizza by 8 (since each pizza has 8 slices):
Price per slice = $37.50 / 8 = $4.6875 or $4.69 (rounded to the nearest cent)
d) If the boosters bought plain cheese pizza at $10 per pizza, their profit per slice would be:
Profit per slice = selling price per slice - cost per slice
Profit per slice = $0.50 - ($10 / 8) = $0.50 - $1.25 = -$0.75
In this case, they would have a loss of $0.75 per slice if they sold plain cheese pizza at the same price as before.