Question

One third of a pole is painted red, one fifth is painted blue and the rest is painted white is 210cm long, what is the lenght ofthe pole.Answer with solution

Answer 1

Answer:

450 cm long

Step-by-step explanation:

Let the total length of pole be x

and length of pole painted white be y = 210 cm

1/3x + 1/5x + y = x

x - 1/3x - 1/5x = y

x - 8/15x = y

7/15x = y = 210

therefore,

x = 210 × 15/7

x = 450 cm

Ans: The total length of the pole is 450 cm

Answer 2

$\huge\sf\pink{Answer}$

☞ Length of pole = 450 cm

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$\huge\sf\blue{Given}$

◕ $\sf \dfrac{1}{3} \ is \ painted \ red$

◕ $\sf \dfrac{1}{5} \ is \ painted \ blue$

◕ Remaining is painted white = 210 cm

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$\huge\sf\gray{To \:Find}$

☆ Length of the pole?

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$\huge\sf\purple{Steps}$

❍ Let the length of the pole be L cm

✪ Length painted Red = $\sf\dfrac{l}{3}$

✪ The Length painted Blue = $\sf\dfrac{1}{5}$

So the Remaining Length,

$\underline{\boxed{\green{\sf L - \bigg\lgroup \dfrac{L}{3} + \dfrac{L}{5} \bigg\rgroup = 210}}}$

Substituting the given values,

➝ $\sf L - \bigg\lgroup \dfrac{L}{3} + \dfrac{L}{5} \bigg\rgroup = 210$

➝ $\sf L - \dfrac{5L+3L}{15} = 210$

➝ $\sf L - \dfrac{8L}{15} = 210$

➝ $\sf\dfrac{L-8L}{15} = 210$

➝ $\sf 7L = 210×15$

➝ $\sf 7L = 3150$

➝ $\sf L = \dfrac{3150}{7}$

➝ $\sf\color{lime}{L = 450 \ cm }$

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