A piece of rope 5 m long is cut into two pieces so that one piece is three fifths as long as the other. Find the length of each piece

Length of pieces are 3.125 m and 1.875 m

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Step-by-step explanation:

A piece of rope 5m long is cut into two pieces so that one piece is three fifths as long as the other.

Length of pieces be a and b.

Total length = 5 m

That is

a + b = 5

One piece is three fifths as long as the other

\begin{gathered}a=\frac{3}{5}ba=0.6b\end{gathered}

a=

5

3

b

a=0.6b

Substituting

0.6 b + b = 5

1.6 b = 5

b = 3.125 m

a = 0.6 x 3.125 = 1.875 m

Length of pieces are 3.125 m and 1.875

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step-by-step explanation:

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