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A 20-inch board is to be cut into three pieces so that the second piece is 4 times as long as the first piece and the third piece is 5 times as long as the first piece. If x represents the length of the first piece, find the lengths of all three pieces?

first piece ----
second piece----
Third piece----

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Konrad509id
1st piece - x
2nd piece - 4x
3rd piece - 5x

[tex]x+4x+5x=20\\ 10x=20\\ x=2\\ 4x=4\cdot2=8\\ 5x=5\cdot2=10 [/tex]

1st piece - 2 in
2nd piece - 8 in 
3rd piece - 10 in
AL2006id
First piece = one time
Second piece = 4 times
Third piece = 5 times

Total board before cutting:   10 times = 20 inches.

Divide each side by 10:    1 time = 2 inches

First piece (x) = 1 time = 2 inches
Second piece = 4 times = 8 inches
Third piece = 5 times=10 inches.

Check:
Total length of all 3 pieces = (2 + 8 + 10) = 20 inches    yay!

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