The eighth grade class at Lincoln Middle School has 93 students. Each student takes a math class or a foreign language class or both. There are 70 eighth graders taking a math class, and there are 54 eighth graders taking a foreign language class. How many eighth graders take only a math class and not a foreign language class?
A. 16
B. 23
C. 31
D. 39
E. 70

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Worked solution

1. 2019 AMC 8 官方解析

林肯中学的八年级有93个学生 . 每个学生要么上数学课,要么上外语课,或者两个都参加 . 其中有70人上数学课,54人上外语课 . 那么有多少个八年级的学生只参加数学课而没参加外语课?
Since all students must participate at least either. Then besides all in foreign language class, the rest takes exactly only a math class.
93−54=3993 - 54 = 39 .

Answer

D. 39

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