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?

Question

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?

Answer 1

Let x be the number of pizzas in the original order.

The football boosters sold x - 10 pizzas for $1040, so each of these pizzas cost $1040 / (x - 10) dollars.

The total cost of these pizzas was $900, so we have:

$900 = 10 * $1040 / (x - 10)
$900 = $10400 / (x - 10)
(x - 10) * $900 = $10400
900x - 9000 = 10400
900x = 19400
x = 21.556

Therefore, the football boosters originally ordered 22 pizzas.