document.write( "Question 1163553: A company manufactures both mountain bikes and trail bikes. The cost of materials for a mountain bike is $70, and the cost of materials for a trail bike is $60. The cost of labor to manufacture a mountain bike is $80, and the cost of labor to manufacture a trail bike is $40. During a week in which the company has budgeted $1,950 for materials and $1,800 for labor, how many mountain bikes does the company plan to manufacture? \n" ); document.write( "
Algebra.Com's Answer #787675 by Theo(13342)\"\" \"About 
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if you wish to utilize all the money that's been budgeted, then your equations are:
\n" ); document.write( "70x + 60y = 1950
\n" ); document.write( "80x + 40y = 1800
\n" ); document.write( "multiply both sides of the first equation by 2 and multiply both sides of the second equation by 3 to get:
\n" ); document.write( "140x + 120y = 3900
\n" ); document.write( "240x + 120y = 5400
\n" ); document.write( "subtract the first equation from the second to get:
\n" ); document.write( "100x = 1500
\n" ); document.write( "solve for x to get:
\n" ); document.write( "x = 15
\n" ); document.write( "solve for y in either equation using 15 for the value of x to get:
\n" ); document.write( "y = 15
\n" ); document.write( "your solution is 15 mountain bikes and 15 trail bikes are planned to be manufactured if you wish to utilize all the resources that are available to you.\r
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