Answer
The portraits are 12 dollars each. The wallet-sized are 7 dollars each.
Work Step by Step
Make two equations using the information:2x+4y=52 and 3x+2y=50. X are portraits and y are wallet-sized. Multiply the second equation by -2 in order to eliminate the y-variable:
-2(3x+2y=50)
-6-4y=-100
Combine the two equations:
2x+4y=52
-6x-4y=-100
-4x=-48
x=12
Plug in x=12 into one of the equations:
3(12)+2y=50
36+2y=50
2y=14
y=7
Check your work:
2(12)+4(7)=52
24+28=52
52=52
So, the portraits are 12 dollars each and the wallet-sized are 7 dollars each.
