Question

1/3 rd part of the length of a bamboo is coloured in red and 1/5th part of it is coloured green and the remaing is 14m is coloured in yellow. lets find the length f the bamboo​ (step by step)

Answer 1

$\bold{\huge{\blue{\underline{ Solution }}}}$

$\bold{\underline{ Given :- }}$

• 1/3rd part of the length of a bamboo is coloured with red and 1/5th part of it is coloured with green and the remaining is 14m is coloured with yellow.

$\bold{\underline{ To \: Find :- }}$

• We have to find the total length of the bamboo

$\bold{\underline{ Let's \: Begin :- }}$

Let the total length of bamboo be x

According to the question,

$\sf{\dfrac{ 1}{3}}{\sf{x +}}{\sf{\dfrac{ 1}{5}}}{\sf{x + 14 = x }}$

$\sf{\dfrac{ 1}{3}}{\sf{x + }}{\sf{\dfrac{1}{5}}}{\sf{x = x - 14 }}$

$\sf{\dfrac{5x + 3x}{15}}{\sf{ = x - 14 }}$

$\sf{ 5x + 3x = 15( x - 14 )}$

$\sf{ 8x = 15x - 210 }$

$\sf{ 210 = 15x - 8x}$

$\sf{ 7x = 210 }$

$\sf{ x = }{\sf{\dfrac{ 210}{7}}}$

$\sf{\red{x = 30\: m}}$

Hence, The total length of the bamboo is 30m.