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Algebra

Hot goIITian

 Joined: 6 Sep 2008 Post: 174
10 Oct 2008 17:04:15 IST
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inequality
Engineering Entrance , JEE Main , JEE Main & Advanced , Mathematics , Algebra

a total of 100 sweets has to be distributed among men women and children.

each man gets 10 sweet each women 5 sweets and each children gets 1/2 sweet

then how many men women and children were present ,if their total no is also 100.

Blazing goIITian

Joined: 8 Oct 2008
Posts: 8064
12 Oct 2008 15:28:58 IST
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Let the number of man be x.

woman be y

child be z

It is given in the question total no of man, woman, child are 100. So x+y+z=100

Given: man get 10 sweets, woman 5  and child 1/2.

10x+5y+z/2=100

eliminating z from eqn 1 and 2, we get

19x+9y=100

x and y must be integers, find the value of x and y by trial and error method, we get x=1 and y=9 therfore z=90.

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