Question

For a party, you order 4 XXL pizzas & 2 boxes of breadsticks from Rock Star Pizza for $86. You return and order 6 XXL pizzas & 4 boxes of breadsticks for $132.50. How much does each item cost?

Answer 1

XXL = $19.75

Box of Breadstick = $3.5

Explanation:

Given that:

Let :

cost per XXL pizza = x

Cost per box of bread stick = y

4x + 2y = 86 - - - (1)

6x + 4y = 132.50 - - - (2)

From (1): Divide (1) by (2)

2x + y = 43 - - - (3)

y = 43 - 2x

Substitute y = 43 - 2x into (2)

6x + 4(43 - 2x) = 132.50

6x + 172 - 8x = 132.50

-2x + 172 = 132.50

-2x = 132.50 - 172

-2x = - 39.50

x = $19.75

y = 43 - 2x

y = 43 - 2(19.75)

y = $3.5