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Question 363007: 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 $50. The cost of labor to manufacture a trail bike is $80, and the cost of labor to manufacture a trail bike is $40. During a week in which the company has budgeted $2500 for materials and $2600 for labor, how many mountain bikes does the company plan to manufacture?
Answer by mananth(16946)   (Show Source):
You can put this solution on YOUR website! materials for a mountain bike is $70,
cost of materials for a trail bike is $50.
cost of labor to manufacture a mountain bike is $80,
cost of labor to manufacture a trail bike is $40.
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budgeted $2500 for materials
$2600 for labor,
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let x be mountain bikes
y be trail bikes
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70x+50y=2500.......................1
80x+40y=2600.......................2
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multiply equation 1 by -8 & equation 2 by 7
-560x-400y=-20000
560x+280y=18200
add the two
-120y= -1800
/-120
y=1800/-120
y =15 trail bikes
plug the value of y
70x+50*15=2500
70x=2500-750
70x=1750
x= 25 mountain bikes
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m.ananth@hotmail.ca
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