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MathNet 2006 — Part 03 Question 58

Math Olympiad Vault · MathNet 2006 — Part 03

Question 58

Adriano, Bruno, César and Daniel are four good friends. Daniel didn't have money, but the others did. Hadrian gave Daniel a fifth of his money, Bruno gave a quarter of his money, and Caesar gave a third of his money. Each gave Daniel the same amount. The amount Daniel now owns represents what fraction of the total amount his three friends together initially owned?

A) $\frac{1}{10}$

B) $\frac{1}{4}$

C) $\frac{1}{3}$

D) $\frac{2}{5}$

E) $\frac{1}{2}$