Half of a herd of deer are grazing in the field and three fourths of the remaining are playing nearby.the rest 9are drinkingwater from the pond. find the number of deer in the herd.
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Grazing in field 50 Percent remaining is 50 Percent next 3/4 of 50 Percent is removed so left is 12.5 Percent 12.5 of the herd is equal to 9. Number of deer is 12.5 Percent multiplied by 8. = 9×8 = 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
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