SOLUTION: Case Eastern Junior College awarded 26 varsity letters in crew, 15 in swimming, and 16 in soccer. If awards went to 46 students and only 2 lettered in all sports, how many stude

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Question 165526: Case Eastern Junior College awarded 26 varsity letters in
crew, 15 in swimming, and 16 in soccer. If awards went
to 46 students and only 2 lettered in all sports, how many
students lettered in two of the three sports?
please help me, I am all confused!
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
26+15+16 gives 57 total letters for 46 students

2 students lettered in 3 sports, leaving 51 (57-6) letters for 44 (46-2) students

one letter each would be 44 letters, so there are 7 (51-44) "extra"

these are the 7 students who lettered in 2 sports