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2021 AMC 12B Question 4

AMC12 · 2021 AMC 12B

Question 4

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 $\dfrac{3}{4}.$ What is the mean of the scores of all the students?
  1. $74$
  2. $75$
  3. $76$
  4. $77$
  5. $78$