Question

In a family, the father took one-fourth of the cake and he had three times more than the others had. The total number of family members is

Options

• 3

• 7

• 10

• 12

Answer 1

10

Explanation:

Let cake weight = x kg and no. of family members = n

Father gets ${\displaystyle \frac{\text{x}}{4}}$

Remaining ${\displaystyle \frac{3\text{x}}{4}}$ distributed equally among (n - 1) member

each gets =${\displaystyle \frac{3\text{x}}{4(\text{n}-1)}}$ ATQ

${\displaystyle \frac{\text{x}}{4}=\frac{3\left(3\text{x}\right)}{4(\text{n}-1)}}$

n - 1 = 9

n = 10