Question

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

Answer 1

Answer:

Part a) 2 toppings

Part b) $\ 15.30$

Step-by-step 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