Jack paid $13.75 to buy 3 slices of pizza and 4 hot dogs at a concession stand. Sarah paid $9.75 to buy 2 slices of pizza and 3 hot dogs from the same concession stand. What is the price of a slice of pizza?

Please help! I will give brainliest to whoever explains how or gets it right

Respuesta :

Answer:
Each slice of pizza costs $2.25

Explanation:
P = prize of a pizza H = price of a hotdog

3p + 4h = $13.75 Multiply this by 2
2p + 3h = $9.75 Multiply this by 3

6p + 8h = $27.50
6p + 9h = $29.25 Subtract

-h = -$1.75 Multiply each side by -1
H = $1.75

A hotdog costs $1.75

2p + 3h = $9.75

2p + 3($1.75) = $9.75
2p + $5.25 = $9.75
2p = $4.50
P = $2.25

How to check:
3p + 4h = 13.75
3($2.25) + 4($1.75) = $13.75
$6.75 + $7.00 = $13.75
$13.75 = $13.75

Hope this helps for now and in the future.