I spent $130.00 on 4 popcorn and 4 cokes and my friend spent $70.00 on 4 popcorn and 1 coke. How much did each treat cost?

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