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Cake sharing puzzle: Father takes 1/4 of cake and has triple each other member's share. Father's portion = 1/4 of the whole cake. This equals 3 times the share of any other single member; all others share the remainder equally. Find the total number of family members. Choose the correct count.

Difficulty: Easy

Correct Answer: 10

Explanation:

Let members = n

Father takes 1/4.
Leftover for (n − 1) others = 3/4 equally ⇒ each other gets (3/4)/(n − 1).

Equation (father has triple any other)
1/4 = 3 × [(3/4)/(n − 1)] = (9/4)/(n − 1)Multiply both sides by 4: 1 = 9/(n − 1) ⇒ n − 1 = 9 ⇒ n = 10.

Final Answer
10

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