Question

A large cheese pizza at Poppy's Pizzeria costs $12.80 plus $1.25 for each topping. The cost of a large

cheese pizza at Geo's Pizza is $14.00 plus $0.65 for each topping. How many toppings need to be added to
a large cheese pizza from Poppy's Pizzeria and Geo's Pizza in order for the pizzas to cost the same? What
would that cost be?​

Answer 1

Part a) 2 toppings

Part b)
`\$15.30`

Explanation:

Part a) How many toppings need to be added to a large cheese pizza from Poppy's Pizzeria and Geo's Pizza in order for the pizzas to cost the same?

Let

x -----> the number of topping

y ----> the total cost of a large cheese pizza

we know that

Poppy's Pizzeria

`y=1.25x+12.80` ----> equation A

Geo's Pizza

`y=0.65x+14.00` ----> equation B

Equate equation A and equation B

`1.25x+12.80=0.65x+14.00`

Solve for x

`1.25x-0.65x=14.00-12.80`

`0.60x=1.2`

`x=2\ toppings`

Part b) What would that cost be?​

we know that

For x=2 toppings the cost is the same in both pizzerias

so

substitute the value of x in equation A or equation B

Poppy's Pizzeria

`y=1.25(2)+12.80`

`y=\$15.30`

Verify the cost in the other pizzeria (must be the same)

Geo's Pizza

`y=0.65(2)+14.00`

`y=\$15.30` ----> is ok