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Half of a herd of deer are grazing in the field and three fourths of the remaining are playing nearby. The rest 9 are drinking water from the pond. Find the number of deer in the herd.
Linear Equations in One Variable
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05/08/2021 12:37 pm
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Half of a herd of deer are grazing in the field and three fourths of the remaining are playing nearby. The rest 9 are drinking water from the pond. Find the number of deer in the herd.
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05/08/2021 12:38 pm
Let the total number of deer be x.
Deer grazing in the field = x/2
Deer playing nearby = x/2 × 3/4 = 3x/8
Deer drinking water = 9
According to the question,
x/2 + 3x/8 + 9 = x
(4x + 3x)/8 + 9 = x
⇒ 7x/8 + 9 = x
⇒ x – 7x/8 = 9
⇒ (8x – 7x)/8 = 9
⇒ x = 9 × 8
⇒ x = 72
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