document.write( "Question 911388: Mark works strictly on commission from his gross sales selling 2 different products for his company. Last month, his gross sales were $88,000. If he earns 6% commission on product A, and 4% commission on product B, what were his gross sales for each product if he earned $4880 in total commission? \n" ); document.write( "
Algebra.Com's Answer #553066 by richwmiller(17219)![]() ![]() You can put this solution on YOUR website! Total amount of sales: $88000 \n" ); document.write( "x+y=88000, \n" ); document.write( "Total commission for the two products is: $4880 \n" ); document.write( "0.06*x+0.04*y=4880 \n" ); document.write( "x=88000-y \n" ); document.write( "Substitute for x \n" ); document.write( "0.06*(88000-y)+0.04*y=4880 \n" ); document.write( "Multiply out \n" ); document.write( "5280-0.06*y+0.04*y=4880 \n" ); document.write( "Combine like terms. \n" ); document.write( "-0.02*y=-400 \n" ); document.write( "Isolate y \n" ); document.write( "y=$ 20000.00 at 4% \n" ); document.write( "x=88000-y \n" ); document.write( "Calculate x \n" ); document.write( "x=$ 68000.00 at 6% \n" ); document.write( "Check \n" ); document.write( "0.06*68000+0.04*20000=4880 \n" ); document.write( "4080+800=4880 \n" ); document.write( "4880=4880 \n" ); document.write( "If this statement is TRUE and neither x nor y is negative then all is well \n" ); document.write( "code int1 \n" ); document.write( " \n" ); document.write( " |