Explain how to solve:

Sam is ordering pizza. Tony's Pizza charges $7 for a large cheese pizza plus $.75 for each additional topping. Maria's Pizza charges $8 for a large cheese pizza plus $.50 for each additional topping. For what number of toppings will the cost of a large pizza be the same at either restaurant?

3 answers

Tony charges 7 + .75t for a pizza with t extra toppings.

Maria charges 8 + .5t for the same pizza.

so, we want to know, when does

7 + .75t = 8 + .5t
.25t = 1
t = 4

So, a pizza with 4 extra toppings costs

7.00 + 4*.75 = 10.00 at Tony's, and
8.00 + 4*.50 = 10.00 at Maria's.

So, for extra credit, who charges less for a pizza with 3 extra toppings? How about 5 extra toppings?

confused

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