document.write( "Question 1014878: A machine requires four hours to make a unit of product A and nine hours to make a unit of product B, Last month the machine operated for 333 hours, producing a total of 47 units. How many units of product A and product B were produced. \n" ); document.write( "

Algebra.Com's Answer #631186 by ikleyn(52787) $\"\"$ $\"About$

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\n" ); document.write( "A machine requires four hours to make a unit of product A and nine hours to make a unit of product B,
\n" ); document.write( "Last month the machine operated for 333 hours, producing a total of 47 units.
\n" ); document.write( "How many units of product A and product B were produced.
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document.write( "Let n = # of units of the product A produced,\r\n" );
document.write( "and m = # of units of the product A produced.\r\n" );
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document.write( "So, m and n are those unknowns the problem is asking for.\r\n" );
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document.write( "Then we have this system of two equations in two unknowns, m and n:\r\n" );
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document.write( " m +  n =  47,   (1)\r\n" );
document.write( "4m + 9n = 333.   (2)\r\n" );
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document.write( "To solve it, multiply the equation (1) by 4 and then distract it from equation (2). You will have\r\n" );
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document.write( "9n - 4n = 333 - 4*47,   or\r\n" );
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document.write( "5n = 145.\r\n" );
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document.write( "Hence, n =  = 29.\r\n" );
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document.write( "Thus 29 units of the product A were produced, and 47 - 29 = 18 units of the product B.\r\n" );
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