SOLUTION: A stick is 152 centimeters along and it is cut up into 6 piece. There are 4 short pieces, all of which are the same length. There are 2 longer pieces that are equal length. A long

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Question 13399: A stick is 152 centimeters along and it is cut up into 6 piece. There are 4 short pieces, all of which are the same length. There are 2 longer pieces that are equal length. A long piece is 10 centimeters longer than the shorter piece. How long is one short piece? How long is one long piece?
Answer by askmemath(368) About Me  (Show Source):
You can put this solution on YOUR website!
Let the length of the shorter piece = X
Then length of the longer = X+10
There are 4 short pieces. Therefore total length = 4X
2 long pieces therefore total length = 2(X+10) = 2X + 20
So total = 4X + 2X + 20 = 152
6X = 152-20
6X = 132
Dividing by X throughout
X = 22 which is the length of the short piece
So length of the long piece = 22+10 = 32cms