A large pizza at Palanzio’s Pizzeria costs $6.80 plus $0.90 for each topping. The cost of a large cheese pizza at Guido’s Pizza is $7.30 plus $0.65 for each topping. How many toppings need to be added to a large cheese pizza from Palanzio’s Pizzeria and Guido’s Pizza in order for the pizzas to cost the same, not including tax?

Question

A large pizza at Palanzio’s Pizzeria costs $6.80 plus $0.90 for each topping. The cost of a large cheese pizza at Guido’s Pizza is $7.30 plus $0.65 for each topping. How many toppings need to be added to a large cheese pizza from Palanzio’s Pizzeria and Guido’s Pizza in order for the pizzas to cost the same, not including tax?

Answer 1

Let x be the number of toppings added to the pizza.

The total cost of a pizza from Palanzio's is 6.8 + 0.9x.
The total cost of a pizza from Guido's is 7.3 + 0.65x.

Setting these two equal, we can find the number of toppings needed to make the pizzas cost the same:
6.8 + 0.9x = 7.3 + 0.65x

Subtracting 0.65x from both sides:
6.8 + 0.25x = 7.3

Subtracting 6.8 from both sides:
0.25x = 0.5

Dividing both sides by 0.25:
x = 2

Therefore, 2 toppings need to be added to make the pizzas cost the same.