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2021 AMC 10B Question 6

AMC10 · 2021 AMC 10B

Question 6

Ms. Blackwell gives an exam to two classes. The mean of the scores of the students in the morning class is $84,$ and the afternoon class’s mean score is $70.$ The ratio of the number of students in the morning class to the number of students in the afternoon class is $\frac{3}{4}.$ What is the mean of the scores of all the students?
  1. $ 74 $
  2. $ 75 $
  3. $ 76 $
  4. $ 77 $
  5. $ 78 $