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
A. 3
B. 7
C. 10
D. 12
Answer: Option C
Solution (By Examveda Team)
This Question Belongs to Competitive Reasoning >> Arithmetic Reasoning
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Comments (5)
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3/4x=1/12
X=9
F=1
Total -10
Suppose amount of cake=100
Father took = 1/4 * 100 = 25
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.
Why x+1 ? Why not only x ?
No explanation of calculation.