Jack bought 4 hot dogs and 3 sodas for $15.50. Mack bought 3 hot dogs and 2 sodas for $11.25. Find the cost of each.

Hot dogs: $2.75

Sodas: $1.5

Step-by-step explanation:

Hot dogs = x

Sodas = y

4x + 3y = 15.5

3x + 2y = 11.25

First find the value of the hot dogs by canceling out y:

2(4x + 3y) = 2(15.5)

3(3x + 2y) = 3(11.25)

= 8x + 6y = 31

9x + 6y = 33.75

x = $2.75 (Minus bottom equation from the top to isolate x)

Plug in for x to get y:

3(2.75) + 2y = 11.25

2y = 11.25 - 8.25 (Isolate the y)

2y = 3

y = 3/2, or $1.5