AMC 10 Step by Step
2021 AMC 10BProblem 6P1-10~2 minPrint

Ms. Blackwell gives an exam to two classes. The mean of the scores of the students in the morning class is 8484 , and the afternoon class's mean score is 7070 . The ratio of the number of students in the morning class to the number of students in the afternoon class is 34\frac{ 3}{4} . What is the mean of the scores of all the students?

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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.