document.write( "Question 1140129: 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 5% commission on product A and 3% commission on product B, what were his gross sales for each product if he earned $4040 in total commission? \n" ); document.write( "

Algebra.Com's Answer #760625 by ikleyn(52776) $\"\"$ $\"About$

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document.write( "    x +     y = 90000    (1)\r\n" );
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document.write( "0.05x + 0.03y = 4040     (2)\r\n" );
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document.write( "Multiply equation (2) by 20 (both sides). Keep equation (2) as is. You will get\r\n" );
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document.write( "    x  +    y = 90000    (1')\r\n" );
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document.write( "    x  + 0.6y = 80800    (2')\r\n" );
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document.write( "Now subtract equation (2') from equation (1'). You will get\r\n" );
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document.write( "         0.4y = 90000 - 80800 \r\n" );
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document.write( "         0.4y = 9200\r\n" );
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document.write( "            y = 9200/0.4 = 2300.\r\n" );
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document.write( "ANSWER.  Gross sale for product B was  $23000;  gross sale for product A was the rest,  90000-23000 = 67000 dollars.\r\n" );
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document.write( "CHECK.  0.03*23000 + 0.05*67000 = 4040 dollars.    ! Correct !\r\n" );
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\n" ); document.write( "\n" ); document.write( "I used the Elimination method to solve the system of equations.\r
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