Question

In a team the captain took 1/3rd of a cake and remaining was divided equally among others. The captain had twice the share of any other's member. How many members are there in the team?

Please respond fast and give the complete answer with each and every step, and explanation for doing things. ​

Answer 1

Answer:

10 family members.

explanation step by step:-

Suppose amount of cake=100

Father took=1/4*100 = 25

Remaining = 100-25= 75

Let the number of people = x

Distribution to the family members = 75(remaining amount of cake) / x (number of family members)

Its given father had 3 times as much as each of the other members had.

Therefore, 25(Father's amount of cake) = 3 times as much as each of the other members (75/x)

then, 25- 3* (75/x)

x=9

Total= 9 +1(Father)=10 family members.

Answer 2

Information mentioned in above question

• In a team the captain took 1/3rd of a cake and remaining was divided equally among others.
• The captain had twice the share of any other's member.

What we have to find ?

• How many members are there in the team?

Assumption :

• Consider the members in team except the caption be y.

Therefore according to the question ,

$\rm \mapsto Captain \: took = \dfrac{1}{3} \: of \: the \: cake$

$\rm \mapsto \: Other \: members \: took = \dfrac{2}{3} \: of \: the \: cake$

• The each member of the team took

$\rm \mapsto \: \dfrac{2}{3 \: y} \: of \: the \: cake$

According to the above condition ,

• The captain had twice the share of any other's member.

$\rm \longrightarrow 2 \times (\dfrac{2}{3 \: y} ) = \dfrac{1}{3}$

• By solving this we get

$\rm \implies \: y = 4$

Therefore ,

• There are 4 members except captain

Henceforth ,

• The total numbers of members in team along with captain

$\rm \mapsto \: 4 \: members \: + 1 \: captain$

$\bf \mapsto \: 5 \: members$