In a family, the father took ¼ of the cake and he had 3 times as much as each of the other members had. The total number of family members are

Answer 1

The remaining is 3/4. Let X be the equal share

1/4 = 3X

so each family member had (1/4)(1/3) = 1/12 of the cake.

Altogether they have 3/4 of the remaining cake.

so (1/12)X = 3/4

Multiplying both sides by 12 is X = (3/4)(12/1) = 9

There are 10 members of the family including the father.

Father took 1/4

other 9 took 9*1/12 = 9/12 = 3/4