Answer:
$3.25 per hotdog
Explanation:
This question can be written as a system of equations:
x = price of hotdogs
y = price of drinks
First family:
4x + 4y = 18
Second family
5x + 3y = 20
Multiply each equation so that one of the variables can cancel out:
-3(4x + 4y = 18)
4(5x + 3y = 20)
First equation:
-12x - 12y = -54
Second equation
20x + 12y = 80
Add the equations together
-12x - 12y = -54
20x + 12y = 80
8x = 26
Divide
x = $3.25
Insert the x into one of the original equations to find y:
4(3.25) + 4y = 18
13 + 4y = 18
4y = 5
y = $1.25