Rs3200 are divided among 16 man, 40 women and 64 boys in a relief camp so that 1/3 of each mens money, 1/2 of each women's money and 3/4 of each boys money are equal. find how much each person would get
Answers
Answered by
4
Let each man's money = Rs x
Each woman's money = Rs y
Each boy's money = Rs z
So x/3 = y/2 = 3z/4
=> x/9 = y/6 = z/4
So x:y:z=9:6:4
Let x = 9k, y = 6k and z=4k
So 16*9k+40*6k+ 64*4k = 3200
=> (144+240+256)k = 3200
=> 640 k = 3200
=> k = 3200/640 = 5
So x= 45, y = 30 and z= 20
So each man will get Rs 45, each woman will get Rs 30 and each boy will get Rs 20
Each woman's money = Rs y
Each boy's money = Rs z
So x/3 = y/2 = 3z/4
=> x/9 = y/6 = z/4
So x:y:z=9:6:4
Let x = 9k, y = 6k and z=4k
So 16*9k+40*6k+ 64*4k = 3200
=> (144+240+256)k = 3200
=> 640 k = 3200
=> k = 3200/640 = 5
So x= 45, y = 30 and z= 20
So each man will get Rs 45, each woman will get Rs 30 and each boy will get Rs 20
Similar questions