Question 626090: A furniture maker is making a chair and needs 12 feet of wood. He has chosen to make the chair out of maple, which costs $25 per foot, and pine, which costs $28 per foot. If the furniture maker wants to spend a total of $25.75 per foot, how many feet of each type of wood will he need?
Answer by babs1010(6)   (Show Source):
You can put this solution on YOUR website! A furniture maker is making a chair and needs 12 feet of wood. He has chosen to make the chair out of maple, which costs $25 per foot, and pine, which costs $28 per foot. If the furniture maker wants to spend a total of $25.75 per foot, how many feet of each type of wood will he need? |
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Let X = Number of FEET at $25
Let Y = Number of FEET at $25.75
X + Y = 12
25X + 25.75Y = 28
X = 12 - Y
25(12 - Y) + 25.75Y = 28
300 - 25Y + 25.75Y = 28
0.75Y = -272
Y = -362.667
X = 374.667
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