mark works strictly on commission of his gross sales from selling two different products for his company last month his gross sales were $86,000 if he earns 5%

Question

mark works strictly on commission of his gross sales from selling two different products for his company last month his gross sales were $86,000 if he earns 5% on product A and 3% commission on product B what were his gross sales for each product if he earned $3800 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 = 86000

 

.05A + .03 B = 3800

 

Let's multiply equation 2 by 20

 

A + B = 86000

A + .6B = 76000

 

Now subtract equation 2 from equation 1

.4B = 10000

B = 10000/.4

B = 25000

 

Since A + B = 86000

A = 61000

 

Checking with the other equation

 

.05 x 61000 = 3050.00

.03 x 25000 = 750.00

The sum of these 2 is 3800