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Boys and Girls at a Party

Source: AIME 2008I Problem 1

March 23, 2008
AMCAIMEAIME I

Problem Statement

Of the students attending a school party, 60% 60\% of the students are girls, and 40% 40\% of the students like to dance. After these students are joined by 20 20 more boy students, all of whom like to dance, the party is now 58% 58\% girls. How many students now at the party like to dance?