Question

if 1/8 of the pencil is black is black 1/2 of the remaining is white and the remaing 3 1/2cm is blue find the total length of pencil?

Answer 1

1/8 of pencil is black
then, 100%/8 = 12.5% is black
1/2 of remaining is white
then, 87.5%/2 = 43.75% is white
then 43.75%x = 3.5cm
43.75x/100 = 3.5
43.75x = 3.5*100
x = 350/43.75
x = 8
so total length of the pencil is 8cm

#mark as brainliest

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 ❣️