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.
let the number of deer be x
numebr of deer grazing in the field =x/2
number of deer playing nearby=3/4 x number of remaining deer
=3/4 X (x - x/2 ) = 3/4 X x/2 = 3x /8
number of deer drinking water from the pond = 9
x - ( x/2 + 3x / 8 ) =9
x-( 4x+3x / 8 ) =9
x- (7x /8) =9
multiplying both sides by 8 :--
x = 9X8
x = 72
so, the total number of deers in the herd is 72 .
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