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2000 AMC 10 Problem 8

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2000 AMC 10 Problem 8AMC 10 Step by Step
Name:                             Date: September 13, 2026
Ratios, Percents & Averages · difficulty 1 of 5 · about 1 min · position P1-10

At Olympic High School, 25\frac{2}{5} of the freshmen and 45\frac{4}{5} 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. A)

    Therearefivetimesasmanysophomoresasfreshmen.There are five times as many sophomores as freshmen.

  2. B)

    Therearetwiceasmanysophomoresasfreshmen.There are twice as many sophomores as freshmen.

  3. C)

    Thereareasmanyfreshmenassophomores.There are as many freshmen as sophomores.

  4. D)

    Therearetwiceasmanyfreshmenassophomores.There are twice as many freshmen as sophomores.

  5. E)

    Therearefivetimesasmanyfreshmenassophomores.There are five times as many freshmen as sophomores.

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