SOLUTION: 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 pro

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Question 977656: 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 by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
Total amount of sales: $90000
x+y=90000,
Total commission for the two products is: $4590
0.06*x+0.03*y=4590
x=90000-y
Substitute for x
0.06*(90000-y)+0.03*y=4590
Multiply out
5400-0.06*y+0.03*y=4590
Combine like terms.
-0.03*y=-810
Isolate y
y=$ 27000.00 at 3% earns $810 commission
x=90000-y
Calculate x
x=$ 63000.00 at 6% earns $3780 commission
Check
0.06*63000+0.03*27000=4590
3780+810=4590
4590=4590
If 4590=4590 is TRUE and neither x nor y is negative then all is well
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