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.