Question

one fourth of a herd of a herd of camel was seen in the forest. One third of the herd had gone to mountain and the remaining 15 camels were seen on the bank of a river . Find the total number of camels in the herd​

Answer 1

Answer:

There are 36 camels in the herd.

Step-by-step explanation:

Given:

One fourth of herd : In forest

One third of the herd : near mountain

Remaining 15 : near riverbank

Solution:

Consider the camels as y.

Camels in forest = 1/4y

Camels near mountain = 1/3y

Camels near riverbank = 15

★ Equation formed,

Camels in forest + Camels near mountain + Camels near riverbank = Total camels

$\longrightarrow$ 1/4y + 1/3y + 15 = y

$\longrightarrow$ (3 + 4)y/12 + 15 = y

$\longrightarrow$ 7y/12 + 15 = y

$\longrightarrow$ 15 = y - 7y/12

$\longrightarrow$ 15 = (12 - 7)y/12

$\longrightarrow$ 15 = 5y/12

$\longrightarrow$ 5y = 15 × 12

$\longrightarrow$ 5y = 180

$\longrightarrow$ y = 180/5

$\longrightarrow$ y = 36

Total camels = 36

Therefore, there are 36 camels in the herd.

Answer 2

⚘ Question :-

• One fourth of a herd of camels was seen in the forest. One third of a herd camels had gone to mountain and the remaining 15 camels were seen on the bank of a river. Find the total number of camels in a herd.

⚘ Answer :-

• Total number of camels in a herd is 36.

Explanation:

⚘ Given :-

• One fourth of a herd camels was seen in the forest.

• One third of a herd camels had gone to mountain.

• The remaining 15 camels were seen on the bank of a river.

⚘ To Find :-

• The total number of camels in the herd?

⚘ Solution :-

• Let the total number of camels in the herd be x.

According to the question,

• ¼ of a herd of a herd of camel was seen in the forest.

• ⅓ of a herd camels had gone to mountain.

• The remaining 15 camels were seen on the bank of a river.

Therefore,

➨ $\sf \dfrac{1}{4}x + \dfrac{1}{3}x + 15 = x$

➨ $\sf \dfrac{x}{4} + \dfrac{x}{3} + 15 = x$

➨ $\sf \dfrac{3x + 4x}{12} + 15 = x$

➨ $\sf \dfrac{7x}{12} + 15 = x$

➨ $\sf \dfrac{7x + 180}{12} = x$

➨ $\sf 7x + 180 = x\:\times\:12$

➨ $\sf 7x + 180 = 12x$

➨ $\sf 180 = 12x - 7x$

➨ $\sf 180 = 5x$

➨ $\sf {\cancel{\dfrac{180}{5}}} = x$

➨ $\Large{\underline{\boxed{\tt{\red{x} \green{=} \pink{3}\purple{6}}}}}$

⚘ Let's Verify :-

We know that,

$\leadsto{\boxed{\tt{\pink{\dfrac{1}{4}x} + \red{\dfrac{1}{3}x} + \purple{15} = \green{x}}}}$

Put x = 36 in above equation we get,

➨ $\sf \bigg(\dfrac{1}{\cancel{4}}\:\times\:\cancel{36}\bigg) + \bigg(\dfrac{1}{\cancel{3}}\:\times\:\cancel{36}\bigg) + 15 = 36$

➨ $\sf (1\:\times\:9) + (1\:\times\:12) + 15 = 36$

➨ $\sf 9 + 12 + 15 = 36$

➨ $\sf 36 = 36$

➨ $\Large{\underline{\boxed{\tt{\red{L}\green{H}\pink{S} \gray{=} \purple{R}\blue{H}\orange{S}}}}}$

Hence, Verified ✔

∴ Hence, the total number of camels in a herd is 36.

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