Difference between revisions of "2015 AIME II Problems/Problem 2"
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Revision as of 13:39, 26 March 2015
Problem
In a new school percent of the students are freshmen,
percent are sophomores,
percent are juniors, and
percent are seniors. All freshmen are required to take Latin, and
percent of the sophomores,
percent of the juniors, and
percent of the seniors elect to take Latin. The probability that a randomly chosen Latin student is a sophomore is
, where
and
are relatively prime positive integers. Find
.
Solution
See also
2015 AIME II (Problems • Answer Key • Resources) | ||
Preceded by First Problem |
Followed by Problem 2 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
All AIME Problems and Solutions |
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