SOLUTION: A 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 o

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: A 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 o      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 288073: A 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
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
This is illustrated with a venn diagram.
26+15+16=57
but 2 are in all three.
Remove 4
57-4=53
53-46=7
There are 7 students who lettered in two of three sports.