Question

One-fourth of a herd of deer have gone to the forest. One-third of the total number are grazing in a field and remaining 15 are drinking water on the bank of a river. Find the total number of deer.​

Answer 1

Let the total number of deer in the herd be x.

One fourth of the herd is in the forest. =

∴ The number of deer in the forest = x/4

One third of the herd is grazing in a field.

∴ The number of deer grazing in the field = x/3

Number of deer drinking water = 15.

According to the given condition,

⇒

(Transposing 15 to RHS and LCM of 3 and 4

is 12)

⇒

(Multiplying by 12 on both sides)

⇒ 7x = 12x – 180 (Removing bracket)

⇒ 7x – 12x = -180 (Transposing 12x to LHS)

-5x = -180

⇒ x =

(Transposing -5 to RHS)

x = 36

∴ The total number of deer in the herd is 36.