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2007 AMC 10BProblem 16P16-20~2 minPrint
Ratios, Percents & AveragesStatistics & DataSet up the equation/formula and compute; no special trick neededTest small/specific values or special cases to find or verify the answer

A teacher gave a test to a class in which 10%10\% of the students are juniors and 90%90\% are seniors. The average score on the test was 84.84. The juniors all received the same score, and the average score of the seniors was 83.83. What score did each of the juniors receive on the test?

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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. Also appeared as 2007 12B #12.