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

Answer:

14

The length of the pipe is 14.

Solution,

Let the total length be X cm

$x - \frac{x}{4} -{ (x - \frac{x}{4} ) \times \frac{1}{2}} = 5 \frac{1}{4} \\ x - \frac{x}{4} - \frac{x}{2} + \frac{x}{8} = \frac{21}{4} \\ \frac{8x - 2x - 4x + x}{8} = \frac{21}{4} \\ \frac{3x}{8} = \frac{21}{4} \\ 3x \times 4 = 21 \times 8 \\ 12x = 168 \\ x = \frac{168}{12} \\ x = 14$

Hope this helps..

Good luck on your assignment..

Answer 2

Answer: 14 cm

Step-by-step 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