Question

Aminatou is a freelance writer who gets paid $225 per newspaper article and $560 per magazine article. Last year, she wrote a total of 512 articles and earned a total of $221,395 for her work. How much did she earn for her newspaper articles alone?​

Answer 1

317 Magazines & 195 News Articles

Explanation:

n = news articles

m = magazine articles

n + m = 512...….[Equation 1]

(Equation 1 can also be written as n = 512 - m)

225n + 560m = 221,395...….[Equation 2]

225 (512 - m) + 560m = 221,395

115,200 - 225m + 560m = 221,395

- 225m + 560m = 221,395 - 115,200...(Subtract both sides by 115,200)

335m = 106,195

m = 106,195/ 335...(divide both sides by 335)

m = 317

Therefore,

n + m = 512

n + 317 = 512

n = 512 - 317

n = 195