document.write( "Question 1184066: A company manufactures both mountain bikes and trail bikes. The cost of materials for a mountain bike is $60, and the cost of materials for a trail bike is $40. The cost of labor to manufacture a mountain bike is $90, and the cost of labor to manufacture a trail bike is $30. During a week in which the company has budgeted $1,700 for materials and $1,950 for labor, how many mountain bikes does the company plan to manufacture?
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Algebra.Com's Answer #849596 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "A company manufactures both mountain bikes and trail bikes.
\n" ); document.write( "The cost of materials for a mountain bike is $60, and the cost of materials for a trail bike is $40.
\n" ); document.write( "The cost of labor to manufacture a mountain bike is $90, and the cost of labor to manufacture a trail bike is $30.
\n" ); document.write( "During a week in which the company has budgeted $1,700 for materials and $1,950 for labor,
\n" ); document.write( "how many mountain bikes does the company plan to manufacture?
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document.write( "Let  m  be the number of the mountain bikes,\r\n" );
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document.write( "     t  be the number of the trail bikes.\r\n" );
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document.write( "Write equations as you read the problem\r\n" );
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document.write( "    60m + 40t = 1700    (1)    (material money) \r\n" );
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document.write( "    90m + 30t = 1950    (2)    (labor money)\r\n" );
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document.write( "Solve by the elimination method.\r\n" );
document.write( "Since they ask about mountain bikes, eliminate t.\r\n" );
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document.write( "For it, multiply equation (1) by 3 and multiply equation (2) by 4.\r\n" );
document.write( "You will get\r\n" );
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document.write( "    180m + 120t = 5100    (3)   \r\n" );
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document.write( "    360m + 120t = 7800    (4)   \r\n" );
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document.write( "Now subtract equation (3) from equation(4)\r\n" );
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document.write( "     180m        = 7800 - 5100\r\n" );
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document.write( "     180m        =     2700\r\n" );
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document.write( "        m        =     2700/180 = 15.\r\n" );
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document.write( "ANSWER.  The company plans to manufacture 15 mountain bikes.\r\n" );
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