document.write( "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? \n" ); document.write( "

Algebra.Com's Answer #599229 by richwmiller(17219) $\"\"$ $\"About$

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Total amount of sales: $90000
\n" ); document.write( "x+y=90000,
\n" ); document.write( "Total commission for the two products is: $4590
\n" ); document.write( "0.06*x+0.03*y=4590
\n" ); document.write( "x=90000-y
\n" ); document.write( "Substitute for x
\n" ); document.write( "0.06*(90000-y)+0.03*y=4590
\n" ); document.write( "Multiply out
\n" ); document.write( "5400-0.06*y+0.03*y=4590
\n" ); document.write( "Combine like terms.
\n" ); document.write( "-0.03*y=-810
\n" ); document.write( "Isolate y
\n" ); document.write( "y=$ 27000.00 at 3% earns $810 commission
\n" ); document.write( "x=90000-y
\n" ); document.write( "Calculate x
\n" ); document.write( "x=$ 63000.00 at 6% earns $3780 commission
\n" ); document.write( "Check
\n" ); document.write( "0.06*63000+0.03*27000=4590
\n" ); document.write( "3780+810=4590
\n" ); document.write( "4590=4590
\n" ); document.write( "If 4590=4590 is TRUE and neither x nor y is negative then all is well
\n" ); document.write( "codeint1
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