Question

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

Answer 1

3x+5x=25
x=25/8m
Length of the other piece = 3/8 x 5 = 1 7/8

Answer 2

Length of pieces are 3.125 m and 1.875 m

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

`a=(3)/(5)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 m