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2000 AMC 10 Question 8

AMC10 · 2000 AMC 10

Question 8

At Olympic High School, $\tfrac25$ of the freshmen and $\tfrac45$ of the sophomores took the AMC $10.$ Given that the number of freshmen and sophomore contestants was the same, which of the following must be true?
  1. There are five times as many sophomores as freshmen.
  2. There are twice as many sophomores as freshmen.
  3. There are as many freshmen as sophomores.
  4. There are twice as many freshmen as
    sophomores.
  5. There are five times as many freshmen as sophomores.