Answer:
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
