Question

1/4 of a pipe is white , 1/2part of the remaining is blue. If the remaining part is black and the length of this blackpart is 5 1/4cm, find the length of the pipe.

Answer 1

14

The length of the pipe is 14.

Solution,

Let the total length be X cm

`x - (x)/(4) -{ (x - (x)/(4) ) * (1)/(2)} = 5 (1)/(4) \\ x - (x)/(4) - (x)/(2) + (x)/(8) = (21)/(4) \\ (8x - 2x - 4x + x)/(8) = (21)/(4) \\ (3x)/(8) = (21)/(4) \\ 3x * 4 = 21 * 8 \\ 12x = 168 \\ x = (168)/(12) \\ x = 14`

Hope this helps..

Good luck on your assignment..

Answer 2

Answer: 14 cm

Explanation:

let's total length = h

white = 1/4h

remain = h - 1/4h

=3/4h

blue = 1/2 of remaining

=1/2 of 3/4h

=3/8h

remain part black = 3/4h - 3/8h

=3/8h

according to the question

3/8h = 5 1/4 cm

h = 14 cm

length of the pipe is 14 cm