Question

4 timer
In a family the father took I
of the cake and her had there 4
as much as other hand, the sotal
number of family member is
3
2
12
X​

Answer 1

Explanation:

4 timer

In a family the father took I

of the cake and her had there 4

as much as other hand, the sotal

number of family member is

3

2

12

X

Answer 2

Given Question?

In a family, the father took 1/4 of the cake and he had 3 times as much as each of the other members had. The total number of family members is?

Required Answer:-

Total family members are 10.

Explaination:-

Let the family members be 'x'

${ { \boxed{ \mathrm{Required \: Equation:-{ \red{ \rm{ 3 \times \frac{3}{4x} = \frac{1}{4} }}}}}}}$

$\implies{ \mathrm{{ { \rm{ \frac{3}{4x} = \frac{1}{4} \times \frac{1}{3} }}}}}$

$\implies{ \mathrm{{ { \rm{ \frac{3}{4x} = \frac{1}{12} }}}}}$

• By cross multiplication we will proceed further.

$\implies{ \mathrm{ 12 \times 3 = 4x}}$

$\implies{ \mathrm{ 36 = 4x}}$

$\implies{ \mathrm{ \frac{36}{4} = x}}$

$\large \implies{ \pink{ \boxed{ \rm{x = 9 }}}}$

$\large \implies \red{ { \boxed{ \mathrm{9 + 1(father) = 10 }}}}$

$\huge \blue{ \boxed{ \rm{So, there \: are \: total \: 1 0 \: family \: members. }}}$