Question

In a family, the father took 1/5 of the cake and he had 4 times as much as others had, then the family members are:

Answer 1

Solution :-

Let there be 1 kg cake.

1 kg = 1000 g

Father ate 1/5th of the cake.

⇒ 1000*1/5

= 200 g

So, father ate 200 g of cake.

Remaining quantity of cake = 1000 - 200 = 800 g

Let the number of members in the family excluding father be x

Father had 4 times as much as others had. So, each family member will get = 200/4

Therefore, number of family members = x*(200/4) = 800

⇒ 200x = 800*4

⇒ 200x = 3200

⇒ x = 3200/200

⇒ x = 16

Total members in the family = 16 + 1 father

= 17 members

Hence, there are 17 members in the family.

Answer.