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)
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Answer:
the number of deers in the herd are 72
Step-by-step explanation:
let the number of deers in the herd = X
no. of deers grazing in the field = X/2
no. of deers playing nearby = 3/4 of X/2
= (3/4)(X/2)
= 3 X / 8
no. of deers drinking water from nearby pond = 9
according to the question,
9 + X/2 + 3 X / 8 = X
9 + 4 X/8 +3 X/8 = X
9 + 7 X/8 = X
9 = X - 7 X/8
9 = 8 X/8 - 7 X/8
9 = X/8
X = 8×9
X = 72
total number of sheeps = 72
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