Question

100 persons, 100 fruits are there. the distribution of fruits in such a way that a male person get 4, female get 2 and 4 children get 1 fruit. find the number of male,female and children ? plz give a detailed answer?

Answer 1

Given:

There are 100 people and  100 fruits in total

Given that ,

1 male get 4 fruits, 1 female get 2 fruits,4 children get 1 fruit.

To Find :

The Number of female , male and Children,

Solution:

Let number of males = X

number of females = Y

number of children = Z

Then X + Y + Z = 100 .

Also

Total fruits = 4X + 2Y + 0.25Z = 100

Since all number are whole numbers , 0.25Z should be a whole number as well.

Then Z should be a multiple of 4.

But Since coefficients of X and Y are multiples of 2 , 0.25Z should be an even number.

Therefore Z is a multiple of 8 .

Z can be 8 , 16 , 24 , 32 , 40 , 48 , 56 , 64 , 72 , 80 , 88 , 96.

• Let Z = 48 , the mid value.

• Then X + Y = 100 - 48 = 52 .

• 4X + 2Y = 100 - 12 = 88

• 2X + Y = 44

• X = -8 , which is not possible.

Therefore C should be a bigger value.

Lets consider the mid value of in the remaining bigger sequence.

• Let Z = 72.

• X + Y = 28

• 2X  + Y = 100 - 18 = 82

• X = 54

Then Y = -26 is negative , not possible.

Hence we can consider a value of C between 48 and 72.

• Let C = 56

• X + Y = 44

• 2X + Y  = 100 - 14 = 86

• Y =  2.

• X = 42

This is the correct answer.

Number of males is 42, number of females is 2 and number of children is 56.