SOLUTION: Of the 137 students who took a mathematics exam, 94 correctly answered the first question, 69 correctly answered the second question, and 54 correctly answered both questions. How
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Question 267101: Of the 137 students who took a mathematics exam, 94 correctly answered the first question, 69 correctly answered the second question, and 54 correctly answered both questions. How many students did not answer either of the two questions correctly? Answer by solver91311(24713) (Show Source):
If 94 students answered the first question correctly and 54 answered both questions correctly, then 94 minus 54 equals 40 students answered ONLY question 1 correctly. Likewise 69 minus 54 equals 15 students who answered ONLY question 2 correctly.
40 who only answered #1 correctly, plus 54 who answered both correctly, plus 15 who only answered #2 correctly is 109 students who got at least something right. Then 137 minus 109 leaves 28 students who did not answer either of the two questions correctly.
