Algebra

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A rope 116 inches is cut into three pieces.The middle-sized piece is 10 inches shorter than twice the shortest piece.The longest piece is 5/3 as long as the shortest piece.What is the length of the shortest piece?

• Algebra -

if the pieces are a < b < c,
a+b+c = 116
b = 2a - 10
c = 5/3 a

the pieces are 27,44,45

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