One forth of a herd of deer have gone to forest. One third of total number are grazing in a field remaining 15 are drinking water on bank of river. Find the total number of deer
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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 =.
One third of the herd is grazing in a field.
∴ The number of deer grazing in the field =.
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.
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