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?
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Answer 1

Let's represent the number of toppings as 'x'.

For Palanzio’s Pizzeria:
Cost of large pizza = $6.80
Cost of each topping = $0.90
Total cost = $6.80 + ($0.90 * x)

For Guido’s Pizza:
Cost of large pizza = $7.30
Cost of each topping = $0.65
Total cost = $7.30 + ($0.65 * x)

We need to find the value of 'x' for which both total costs are equal. So we set up the equation:

$6.80 + ($0.90 * x) = $7.30 + ($0.65 * x)

Now, let's solve for 'x'.

$6.80 + $0.90x = $7.30 + $0.65x

Subtract $0.65x from both sides:

$6.80 + $0.90x - $0.65x = $7.30 + $0.65x - $0.65x

$6.80 + $0.25x = $7.30

Subtract $6.80 from both sides:

$6.80 + $0.25x - $6.80 = $7.30 - $6.80

$0.25x = $0.50

Divide both sides by $0.25:

$0.25x / $0.25 = $0.50 / $0.25

x = 2

Therefore, in order for the pizzas to cost the same, 2 toppings need to be added to a large cheese pizza from Palanzio’s Pizzeria and Guido’s Pizza.