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1978 AMC 12 Question 5

AMC12 · 1978 AMC 12

Question 5

Four boys bought a boat for $\$60.$ The first boy paid one half of the sum of the amounts paid by the other boys; the second boy paid one third of the sum of the amounts paid by the other boys; and the third boy paid one fourth of the sum of the amounts paid by the other boys. How much did the fourth boy pay?
  1. $\$10$
  2. $\$12$
  3. $\$13$
  4. $\$14$
  5. $\$15$