Question

on vacation sally stopped in Algebraville because of their famous pizza house pi-pizza. There they sold pizza by the slice. A slice of cheese pizza cost $2 and a slice of cheese and Peperoni costs $2.50. The day she stopped they sold 1500 slices for a total of $3450. How many of each slice did Pi-place sell.

Answer 1

600 Cheese and 900 Pepperoni

Explanation:

Setup the equation with 2c(Cheese) + 2.5p(Pepperoni) = $3450(Total Made).

In addition to the equation c + p = 1500(Number of pizzas sold)

Using the second equation (c + p = 1500) solve for one of the variables.

Lets use :

1. p = 1500 - c
2. Plus this equation into the original equation, 2c + 2.5(1500 - c) = 3450
3. Distribute 2.5, 2c + 3750 - 2.5c = 3450
4. Combine like terms -0.5c + 3750 = 3450
5. Solve for c: c = 600
6. Plus 600 in for c into any equation ( lets use c + p = 1500)
7. 600 + p = 1500
8. P = 900