Molly placed two orders last week to Paneto's Pizzeria. In one order, she received 10 pizzas and 10 hero sandwiches for $137.50. In the other order, she received 15 pizzas and 8 hero sandwiches for $176.50. The price per item was not listed on the receipts. What is the price for one pizza, p, and one hero sandwich, h?

p = $9.50

h = $4.25

Step-by-step explanation:

First set up your equations:

10p+10h=137.50

15p+8h=176.50

Then choose one equation, and isolate either variable. I'm going to use the first equation and isolate p.

p+h=13.75 (divide by 10 on each side)

p=13.75-h

Now plug in the value for p into the second equation and evaluate

15 (13.75-h) + 8h=176.50

206.25-15h+8h=176.50

206.25-7h=176.50

29.75=7h

h=4.25

now plug in the value of h, (4.25) into any equation to find the value of p

10p+42.5=137.50

10p=95

p=9.5

h=4.25