To help solve this problem, we need to create a system of equations.
let x = cost of one full-page ad
let y = cost of half-page ad
First issue: 3x + 5y = 6340
second issue: 4x + 4y = 6625.
Multiply the first equation by 4 and the second equation by -3
First issue: 12x + 20y = 25,360
Second issue -12x - 12y = - 19,875.
Add both equations together.
New equation: 8y = 5485.
Divide both sides by 8 to solve for y
y = $685.63.
Plug $685.63 into one of our original equations.
3x + 5(685.63) = 6340
Multiply 5 by 685.63
3x + 3428.15 = 6340.
Subtract 3428.15 from both sides
3x = 2911.85.
Divide both sides by 3
x = $970.62
The advertising rates in this journal for a full-page add is $970.62 and for a half-page ad is $685.63
