Half of the heard of a deer are grazing in field and three fourth of the remaining are playing nearby. Rest 9 are drinking water. Find them. Of deer in the heard. I need the answer quickly as I have my maths exam tomorrow only!!!!!
 

Asked by Shobhit | 10th Sep, 2015, 12:56: PM

Expert Answer:

begin mathsize 16px style Let space there space be space straight x space number space of space deer space space in space the space heard. Number space of space deer space grazing space in space the space field space open parentheses Half space of space the space deer close parentheses space equals straight x over 2 space space... open parentheses 1 close parentheses Remaining space deer space equals straight x space minus space straight x over 2 equals straight x over 2 Number space of space deer space playing space nearby space is equals 3 over 4 to the power of th space end exponent of space remaining space deer space equals space 3 over 4 cross times straight x over 2 equals fraction numerator 3 straight x over denominator 8 end fraction space space space... open parentheses 2 close parentheses Number space of space deer space drinking space water space equals space 9 As space per space the space given space information comma straight x space equals straight x over 2 plus fraction numerator 3 straight x over denominator 8 end fraction plus 9 therefore straight x space equals space fraction numerator 4 straight x plus 3 straight x plus 72 over denominator 8 end fraction therefore 8 straight x space equals space 7 straight x space plus 72 therefore straight x space equals 72 space Hence comma space there space are space 72 space deers space in space the space heard. therefore Number space of space deer space grazing space in space the space field space open parentheses Half space of space the space deer close parentheses space equals straight x over 2 equals 72 over 2 equals 36 space space space space therefore Number space of space deer space playing space nearby space equals fraction numerator 3 straight x over denominator 8 end fraction equals fraction numerator 72 cross times 3 over denominator 8 end fraction equals 27 space space space space end style

Answered by Priti Shah | 10th Sep, 2015, 03:16: PM