# Problem #2053

 2053 At Olympic High School, $\frac{2}{5}$ of the freshmen and $\frac{4}{5}$ 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? $\mathrm{(A)}$ There are five times as many sophomores as freshmen. $\mathrm{(B)}$ There are twice as many sophomores as freshmen. $\mathrm{(C)}$ There are as many freshmen as sophomores. $\mathrm{(D)}$ There are twice as many freshmen as sophomores. $\mathrm{(E)}$ There are five times as many freshmen as sophomores. This problem is copyrighted by the American Mathematics Competitions.
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