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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?
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! if you wish to utilize all the money that's been budgeted, then your equations are:
70x + 60y = 1950
80x + 40y = 1800
multiply both sides of the first equation by 2 and multiply both sides of the second equation by 3 to get:
140x + 120y = 3900
240x + 120y = 5400
subtract the first equation from the second to get:
100x = 1500
solve for x to get:
x = 15
solve for y in either equation using 15 for the value of x to get:
y = 15
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.
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