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

x/8 =9

multiplying both sides by  8 :--

x = 9X8

x = 72 

so, the total number of deers in the herd is 72 .

PLZ GIVE THUMBS UP