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 pool pond. Find the no
deer in the hard.
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Step-by-step explanation:
let the number of deer in the herd be x
no of deer grazing = 1/2 * x = x/2
no of deer playing = 3/4 * x/2 = 3x/8
no of deer drinking water = 9
x/2 + 3x/8 +9 = x
8x + 6x /16 + 9 = x
14x/16 + 9 = x
7x/8 + 9 = x
9 = x - 7x/8
9 = 8x - 7x/8
9 = x/8
x/8 = 9
x = 9 * 8
x = 72
No of deer grazing = 72/2
= 36
No of deer playing = 3x/8
= 216/8
= 27
Total deer = 36 + 27 + 9
= 72
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