algebra question

Question

You are offered two different sales jobs. The first company offers a straight commission of 3% of the sales. The second company offers a salary of $ 500 per week plus 2% of the sales. How much would you have to sell in a week in order for the straight commission offer to be at least as good?

Answer 1

.03x = 500+.02x

.02(50000)+500 =$1500 salary+2% commission needed to make as much as a straight 3% commission

you'd need sales of $50,000, at least

.01x = 500

x = 500/.01

$50,000

.03x =.03(50000)= $1,500