Final answer:
To determine the number of toppings that 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, set up an equation and solve for the number of toppings. The answer is 2 toppings.
Two toppings need to be added to the large cheese pizzas from both Palanzio’s Pizzeria and Guido’s Pizza for their costs to be the same, by setting up an equation for the cost of pizza from each pizzeria and solving for the number of toppings.
Step-by-step explanation:
To determine the number of toppings that 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, we need to set up an equation.
Let x represent the number of toppings.
The cost of a large cheese pizza at Palanzio’s Pizzeria is $6.80 + $0.90x.
The cost of a large cheese pizza at Guido’s Pizza is $7.30 + $0.65x.
Setting these two expressions equal to each other:
$6.80 + $0.90x = $7.30 + $0.65x
Subtracting $0.65x from both sides:
$6.80 + $0.90x - $0.65x = $7.30
Combining like terms:
$6.80 + $0.25x = $7.30
Subtracting $6.80 from both sides:
$0.25x = $7.30 - $6.80
Combining like terms:
$0.25x = $0.50
Dividing both sides by $0.25:
x = 2
Therefore, 2 toppings need to be added to a large cheese pizza from both Palanzio's Pizzeria and Guido's Pizza in order for the pizzas to cost the same.