SOLUTION: 1. When it is assembled, a flute is 27 inches long. The middle piece is 5 inches longer than the first piece. The last piece is 2 inches less than two-thirds as long as the first p
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Question 1153241: 1. When it is assembled, a flute is 27 inches long. The middle piece is 5 inches longer than the first piece. The last piece is 2 inches less than two-thirds as long as the first piece. Find the length of each piece of the flute.
Having trouble with this question. I have tried numerous ways to solve for the length of each piece and am coming up empty. Thanks Mayra Found 2 solutions by josgarithmetic, MathTherapy:Answer by josgarithmetic(39616) (Show Source):
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1. When it is assembled, a flute is 27 inches long. The middle piece is 5 inches longer than the first piece. The last piece is 2 inches less than two-thirds as long as the first piece. Find the length of each piece of the flute.
Having trouble with this question. I have tried numerous ways to solve for the length of each piece and am coming up empty. Thanks Mayra
Let length of 1st piece be F
Then length of middle piece = F + 5
Also, length of last piece =
We then get: ------ Subtracting 3 from each side, after combining like-terms
6F + 2F = 72 ----- Multiplying by LCD, 3
8F = 72
F, or length of 1st piece =
You should be able to find the lengths of the other 2 pieces now!
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