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1998 AMC 12 Question 9

AMC12 · 1998 AMC 12

Question 9

A speaker talked for sixty minutes to a full auditorium. Twenty percent of the audience heard the entire talk and ten percent slept through the entire talk. Half of the remainder heard one third of the talk and the other half heard two thirds of the talk. What was the average number of minutes of the talk heard by members of the audience?
  1. $24$
  2. $27$
  3. $30$
  4. $33$
  5. $36$