document.write( "Question 1199462: A machine requires 6 hours to make a unit of Product A and 5 hours to make a unit of Product B. Last month the machine operated for 481 hours, producing a total of 89 units. How many units of Product A were produced? \n" ); document.write( "

Algebra.Com's Answer #833340 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "A machine requires 6 hours to make a unit of Product A and 5 hours to make a unit of Product B.
\n" ); document.write( "Last month the machine operated for 481 hours, producing a total of 89 units.
\n" ); document.write( "How many units of Product A were produced?
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\n" ); document.write( "\n" ); document.write( " It can be solved using two equations in two unknown, or one equation in one unknown.\r
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\n" ); document.write( "\n" ); document.write( " I will show you the last way.\r
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document.write( "Let x be the number of units of A-product.\r\n" );
document.write( "Then the number of units of B-product is 89-x.\r\n" );
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document.write( "Write the full elapsed time equation\r\n" );
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document.write( "    6x + 5*(89-x) = 481.\r\n" );
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document.write( "Simplify and find x\r\n" );
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document.write( "    6x + 445 - 5x = 481\r\n" );
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document.write( "    6x - 5x = 481 - 445\r\n" );
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document.write( "       x    = 36.\r\n" );
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document.write( "ANSWER.  36 units of A-product were produced.\r\n" );
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document.write( "CHECK.  6*36 + 5*(89-36) = 6*36 + 5*53 = 216 + 265 = 481 hours, total time.  ! correct !\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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\n" ); document.write( "\n" ); document.write( "Be attentive: in his solution, tutor @greenestamps mixed up products A and B
\n" ); document.write( "and gave you wrong answer.\r
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