On the most recent exam in Prof. Xochi's class, 55 students earned a score of at least 95%95\%, 1313 students earned a score of at least 90%90\%, 2727 students earned a score of at least 85%85\%, and 5050 students earned a score of at least 80%80\%. How many students earned a score of at least 80%80\% and less than 90%90\%.
A. 8
B. 14
C. 22
D. 37
E. 45

Inclusion-exclusion principle中文
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1. 2025 AMC 8 官方解析

Answer (D): There were 5050 students who earned a score of at least 80%80\%. Of those, 1313 students earned a score of at least 90%90\%. Therefore there were 50−13=3750 - 13 = 37 students who earned a score of at least 80%80\% and less than 90%90\%.

Answer

D. 37

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