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{( 1)/(3)}{\sf{x +}}{\sf{( 1)/(5)}}{\sf{x + 14 = x }}`

`\sf{( 1)/(3)}{\sf{x + }}{\sf{(1)/(5)}}{\sf{x = x - 14 }}`

`\sf{(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{( 210)/(7)}}`

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

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