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Question 206125: 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 students lettered in two of the three sports.
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! 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 students
lettered in two of the three sports.
:
Total awards 26 + 15 + 16 = 57
:
eliminate the 2 three sport students and you have:
Total 44 students, 24 crew, 13 swim, 14 soccer
:
Total awards now: 24 + 13 + 14 = 51
Distributed among 44 students
Therefore: 51 - 44 = 7 students lettered in two sports
:
:
check:
44 - 7 = 37 lettered in only one sport
:
1 sport: 37 * 1 =37 awards
2 sport: 7 * 2 = 14 awards
3 sport: 2 * 3 = 6 awards
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totals: 46 stud; 57 awards total
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