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 two lettered in all sports, how many studen
Algebra ->
Customizable Word Problem Solvers
-> Misc
-> 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 two lettered in all sports, how many studen
Log On
Question 180012: 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 two lettered in all sports, how many students lettered in two of the three sports? Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website! The total number of letters awarded is
The number of students who got letters is
2 students lettered in all three sports
I can say
student #1 has a swim, soccer, crew letter
student #2 has a swim, soccer, crew letter
That's 6 letters used up by 2 students
There are:
24 crew
14 soccer
13 swimming
-----------
51 letters left for 44 students letters are left over that must
be letters given to students that already have
a letter.
These 7 extra letters must be given to 7 students
because none of the students has letters,
So, 37 students got 1 letter, 7 got 2 letters, and 2 got 3 letters
7 students lettered in 2 of the 3 sports -answer
