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A pizza at Papa's Pizza cost $6.80 plus $0.90 for each topping. The cost of the pizza at Little Italy is $7.30 plus $0.65 for each topping.How many toppings needed to be added to a pizza at both restaurants in order for the pizzas to cost the same,not including tax?

Respuesta :

Answer:

The two pizzas will same cost when 2 toppings are added on the pizza.

Step-by-step explanation:

We are given the following in the question:

Papa's pizza:

Cost of pizza = $6.80

Cost of each topping = $0.90

Let x be the total number of toppings.

Total cost =

[tex]c_1(x) = 6.80 + 0.90x[/tex]

Little Italy's pizza:

Cost of pizza = $7.30

Cost of each topping = $0.65

Let x be the total number of toppings.

Total cost =

[tex]c_2(x) = 7.30 + 0.65x[/tex]

Equating the two equations, we get,

[tex]6.80+0,90x = 7.30 + 0.65x\\\Rightarrow 0.25x = 0.5\\\Rightarrow x = 2[/tex]

Thus, the two pizzas will same cost when 2 toppings are added on the pizza.

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