Set up a system of equations:
x + y = 6
8x + 10y = 52
Where 'x' is the number of $8 videos and 'y' is the number of $10 videos.
x + y = 6
Subtract 'x' to both sides:
y = -x + 6
Plug in '-x + 6' for 'y' in the 2nd equation:
8x + 10y = 52
8x + 10(-x + 6) = 52
Distribute 10 into the parenthesis:
8x - 10x + 60 = 52
Combine like terms:
-2x + 60 = 52
Subtract 60 to both sides:
-2x = -8
Divide -2 to both sides:
x = 4
So you bought four $8 videos.
