Answer:
Popcorn is $12.50 and Coke is $20.00
Step-by-step explanation:
x = popcorn
y = coke
4x + 4y = 130
4x + 1y =70
Solve first equation for x.
4x + 4y = 130
4x = 130 - 4y
x = 32.50 - y
Substitute 32.50 - y for x in the second equation.
4x + 1y = 70
4(32.50 - y) + 1y = 70
130 - 4y + 1y = 70
-3y = 70 -130
-3y = -60
y = 20
Now substitute 20 value for y.
x = 32.50 - y
x = 32.50 - 20
x = 12.50
Check:
4x + 4y = 130
4(12.50) + 4(20) = 130
50 + 80 = 130
4x + 1y = 70
4(12.50) + 1(20) = 70
50 + 20 = 70
