AMC 10 Step by Step
2019 AMC 10BProblem 3P1-10~3 minPrint

In a high school with 500500 students, 40%40\% of the seniors play a musical instrument, while 30%30\% of the non-seniors do not play a musical instrument. In all, 46.8%46.8\% of the students do not play a musical instrument. How many non-seniors play a musical instrument?

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Problem © Mathematical Association of America (MAA), American Mathematics Competitions. Reproduced for non-commercial educational use. Solution and commentary are original to this site.