The School Counselor
Part 2
The counselor is also helping senior athletes with their
college scholarship applications.
Many of the school’s varsity athletes play several sports.
20 athletes played soccer.
7 athletes played soccer and baseball.
14 athletes played baseball.
9 athletes played tennis.
7 athletes played soccer and baseball.
6 athletes played soccer and tennis.
4 athletes played baseball and tennis.
2 athletes played all three sports.
How many athletes played soccer, but not baseball or
tennis? How many athletes played just one of the three
sports?
Soccer
2
Again, start
with the
number
shared by
all three
sports.
Tennis
Soccer
5
2
7 played soccer &
baseball – we
already have 2.
We need 5 more
in the shared
section.
Tennis
Soccer
5
2
2
Since 4 athletes play
baseball & tennis, we
need 2 more here.
Tennis
Soccer
5
5
2
2
A total of 14 play
baseball: 5 + 2 + 2 =
9. Five Students
play only baseball.
Tennis
Soccer
5
5
2
2
4
6 played soccer & tennis.
We already have 2; we
need 4 more.
Tennis
Soccer
5
9
5
2
2
4
20 total were soccer
athletes. 2+4+5 = 11. We
need 9 more.
Tennis
Soccer
5
9
5
2
2
4
A total of 9 played
tennis. We have 4 + 2 +
2, which is 8 so far. Put
1 more student in the
tennis circle.
1
Tennis
Soccer
5
9
5
2
How many athletes
played soccer, but not
baseball or tennis?
9
2
4
1
How many athletes
played just one of the
three sports?
9 + 5 + 1 = 15
Tennis