Math question

Question

Mark works strictly on commission of his gross sales from selling two different products for his company. Last month, his gross sales were $90,000. If he earns 6% commission on product A and 3% commission on product B, what were his gross sales for each product if he earned $4590 in total commission? 

Answer 1

a + b = 90,000

.06a + .03b = 4590

 

a = 90,000 - b

 

.06(90,000 - b) + .03b = 4590

      5400 - .06b + .03b = 4590

                             -.03b = 810

                                    b = 27,000

 

a = 90,000 - 27,000 = 63,000