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.
:
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
---------------------------
 totals: 46 stud; 57 awards total