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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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Engineering graduate from NIT Calicut, Rank holder (#47) in State Entrance Examination.

fraction of herd grazing=1/2 fraction of herd playing=3/4 * remaining=3/4*1/2=3/8 fraction of herd drinking water=1-1/2-3/8=1/2-3/8=(4-3)/8=1/8 since total of all fractions equals to 1. let total number of deer in the herd=x number of deers drinking water=1/8 *x=x/8=9 x=9*8=72 the total number of deer...
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fraction of herd grazing=1/2

fraction of herd playing=3/4 * remaining=3/4*1/2=3/8

fraction of herd drinking water=1-1/2-3/8=1/2-3/8=(4-3)/8=1/8

since total of all fractions equals to 1.

let total number of deer in the herd=x

number of deers drinking water=1/8 *x=x/8=9

x=9*8=72

the total number of deer in the herd=72

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Let the number of deer be x. Number of deer grazing in the field = Number of deer drinking water from the pond = 9 Multiplying both sides by 8, we obtain x = 72 Hence, the total number of deer in the herd is 72.
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Let the number of deer be x.

Number of deer grazing in the field =

Number of deer drinking water from the pond = 9

Multiplying both sides by 8, we obtain

x = 72

Hence, the total number of deer in the herd is 72.

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