Question

If 1/8 of a pencil is black, 1/2 of the remaining is white and the remaining, 3/2cm is blue. Find the total length of the pencil?
A) 8 cms
B) 7 cms
C) 9 cms
D) 11 cms

Answer 1

1/8=0.125
1/2=0.5
3/2=1.5

=2.125cm

Answer 2

${\boxed {\orange {\bigstar{answer}}}}$

$\small \purple{let \: assume \: length \: of \: the \: pencil \: is \: x}$

$\small \red{as \: per \: que. \: portion(length) \: of \: black \: in \: pencil} = \frac{x}{8}$

$remaining \: portion = x - \frac{x}{8} = \frac{7x}{8}$

$so \: white \: portion = \frac{1}{2} \times \frac{7x}{8} = \frac{7x}{16}$

$so \: remaining \: portion = \frac{7x}{8} - \frac{7x}{16} = \frac{7x}{16}$

$\green{as \: per \: question}$

$\frac{7x}{10} = 3.5$

${\fcolorbox{pink}{white}{x = 8cm}}$

HOPE IT'S HELPS YOU ❣️