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2002 AMC 8 Question 25

AMC8 · 2002 AMC 8

Question 25

Loki, Moe, Nick and Ott are good friends. Ott had no money, but the others did. Moe gave Ott one-fifth of his money, Loki gave Ott one-fourth of his money and Nick gave Ott one-third of his money. Each gave Ott the same amount of money. What fractional part of the group’s money does Ott now have?
  1. $\dfrac{1}{10}$
  2. $\dfrac{1}{4}$
  3. $\dfrac{1}{3}$
  4. $\dfrac{2}{5}$
  5. $\dfrac{1}{2}$