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
Answers
Let the numbee of deer to be x.
Then the number of deer grazing in the field = x/2
Number of remaining deer = x/2
Number of deer playing nearby =3/4 × x/2 = 3x/8
Number of drinking water = x - (x/2 + 3x/8)
=x-(4x+3x/8)
=x-7x/8
=8x-7x/8
=x/8
According to the question x/8 =9
=> x=9×8
= 72
Hence, the number of deer in the herd is 72..
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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