Question

Anna sells home-delivery products for 2 different companies. The first company pays her 10% commission, and the second company pays her 6% commission. Next month, she wants to earn $600. If she plans on monthly sales of $7600 in total from both companies, what amount must she sell for the company that pays 10% commission?

Answer 1

Answer:  $3600

Step-by-step explanation:

Let x represent the monthly sales for the 10% commission job

Let y represent the monthly sales for the 6% commission job

Commission:   .10x + .06y =  600

Monthly Sales:     x  +     y = 7600

Use Elimination Method to solve the system of equations

100(.10x + .06y =  600) --->  10x + 6y =  60,000

 -6(     x  +     y = 7600) ---> -6x - 6y = -45,600

                                               4x        =    14,400

                                                 x        =     3600