SOLUTION: A stick is 86 centimeters long is cut into 5 pieces. θhe three long pieces are all the same length and the two shorter pieces are both the same length. Each of the shorter pie

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Question 830689: A stick is 86 centimeters long is cut into 5 pieces. θhe three long pieces are all the same length and the two shorter pieces are both the same length. Each of the shorter pieces is two centimeters shorter than one of the longer pieces. Find the length of the longer piece.
Answer by stanbon(75887) About Me  (Show Source):
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A stick is 86 centimeters long is cut into 5 pieces. θhe three long pieces are all the same length and the two shorter pieces are both the same length. Each of the shorter pieces is two centimeters shorter than one of the longer pieces. Find the length of the longer piece.
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Equations:
3L + 2S = 86
S = L -2
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Substitute for "S" and solve for "L"::
3L + 2(L-2) = 86
5L - 4 = 86
5L = 90
L = 18 cm (lenght of a longer piece)
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Cheers,
Stan H.
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