A restaurant charges $8 for a large cheese pizza plus $1.50 per topping. Another restaurant charges $11 for a large cheese pizza plus $0.75 per topping. To find out how many toppings it would take for the pizzas to cost the same at both restaurants, which equation would you set up?

8x + 1.5 = 0.75x + 11
8 + 1.5x = 11 + 0.75 x
8 + 0.75x = 11 + 1.5x
8x + 1.5 = 11x + 0.75

Question

A restaurant charges $8 for a large cheese pizza plus $1.50 per topping. Another restaurant charges $11 for a large cheese pizza plus $0.75 per topping. To find out how many toppings it would take for the pizzas to cost the same at both restaurants, which equation would you set up?

8x + 1.5 = 0.75x + 11
8 + 1.5x = 11 + 0.75 x
8 + 0.75x = 11 + 1.5x
8x + 1.5 = 11x + 0.75

mathstudent55 · Answer

First restaurant
Fixed price: $8
Price per topping: $1.50
Price for x toppings: $1.50x
Total price: 8 + 1.5x

Now do the same for the second restaurant prices and set the two equal.