Question

miranda has been offered two jobs. the pay at job A would be $750 per month plus 15% commission of the merchandise sold. Job B offers $675 per month plus 20% commission of the merchandise sold. what value of merchandise must she sell in order to make more money at Job B than A?

Answer 1

x = total value of merchandise sold (in dollars)

y = take home pay (in dollars)

Job A: y = 0.15x + 750

Job B: y = 0.20x + 675

We want to know when job B's pay will be larger than job A's pay. So set the expression for job B larger than job A, solve for x

0.20x + 675 > 0.15x + 750

0.20x - 0.15x > 750 - 675

0.05x > 75

x > 75/0.05

x > 1500

Answer: Miranda must sell more than $1500 worth of merchandise to have job B pay more than job A.