A restaurant charges $9 for a large cheese pizza plus $1.25 per topping. Another restaurant charges $13 for a large cheese pizza plus $0.25 per topping. How many toppings does a pizza have that costs the same at both restaurants?

Answer: 4 toppings

Step-by-step explanation:

Hi, to answer this question we have to write a system of equations:

For restaurant A, the total cost (A) is equal to the price of a pizza (9) plus the product of the price of each topping (1.25) and the number of toppings (t)

A = 9 + 1.25 t

Same for the total cost of restaurant B (B)

B = 13 + 0.25 t

So, both costs must be equals:

A=B

So:

9 + 1.25 t = 13 + 0.25 t

Solving for t:

1.25t - 0.25t = 13-9

1t = 4

t = 4/1

t=4