Question 977656
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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