SOLUTION: A 20-ft board is cut into three pieces. The second piece is three times as long as the first. The third piece is twice as long as the second. Find the lengths of the pieces.

Question 414352: A 20-ft board is cut into three pieces. The second piece is three times as long as the first. The third piece is twice as long as the second. Find the lengths of the pieces.
Found 2 solutions by stanbon, MathLover1:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A 20-ft board is cut into three pieces. The second piece is three times as long as the first. The third piece is twice as long as the second. Find the lengths of the pieces.
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There are 3 pieces: a,b,c
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Let 1st piece have length "x".
Then 2nd piece = "3x".
And 3rd piece is 2(3x) = "6x".
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Equation:
x + 3x + 6x = 20*12 inches
10x = 240 inches
x = 24 inches = 2 ft. (1st piece length)
3x = 6 ft (2nd piece length)
6x = 12 ft(3rd piece length)
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Cheers,
Stan H.
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Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!

A 20-ft board is cut into three pieces: , and
The second piece is three times as long as the first .

The third piece is twice as long as the second .

Find the lengths of the pieces.
........replace and with

...find

..........now find

..........now find

check:

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