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A string is 148 cm long. It is cut into 3 pieces. The longest............ Find the length of the shortest piece (in cm).

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A string is 148 cm long. It is cut into 3 pieces.
The longest piece is 4 times as long as the middle sized piece and the shortest piece is 77 cm shorter than the longest piece.
Find the length of the shortest piece (in cm).

posted Oct 28, 2020 by Sandeep Bedi

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1 Answer

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23 cm
.
Lets set the middle string at length x.
The longest string is then 4 * x.
The shortest string is then 4 * x - 77.
The total string = 148 = 4 * x + x + 4 * x - 77 = 9 * x - 77
x = (148 + 77) / 9 = 25.
The shortest string is 4 * 25 - 77 = 23 cm.

answer Oct 29, 2020 by Jcm



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