Carmen and hannah bought lunch at the pizza shop. Carmen ordered two slices of pizza an three cans of juice. Hannah ordered three slices of pizza and two cans of juice. Carmens bill was $5.25 and hannahs bill was $6.00. What was the price of one slice of pizza? of one can of juice?

Answer 1

2P + 3J = 5.25
3P + 2J = 6.00

Multiply first equations by 3 and second by 2.

6P + 9J = 15.75
6P + 4J = 12.00

Subtract second from first.

5J = 3.75

Solve for J and insert that value into either original equation to find P. To check, put both values into the other equation.