commission product equation

Question

Mark works strictly on the commission of his gross sales from selling two different products for his company. Last​ month, his gross sales were $92,000. If he earns 4​% commission on product A and 3​% commission on product​ B, what were his gross sales for each product if he earned $3420 in total​ commission?

Answer 1

This can be solved as a system of 2 linear equations

 

A = gross sales of product A

B = gross sales of product B

 

A + B = 92000

 

.04A + .03 B = 3420

 

solve the first equation for A and place into the second equation to solve for B

A=92000-B

0.04(92000-B) +0,03B=3420

B=$26,000

A=92000-B=92000-26000=$66000