Question

In a survey of students about favorite sports, the results include 22 who like
tennis, 25 who like football, 9 who like tennis and football, 17 who like tennis and
baseball, 20 who like football and baseball, 6 who like all three sports, and 4 who like
none of the sports. How many students like only tennis and football? How many students
like only tennis and baseball? How many students like only baseball and football?


 How can a Venn diagram help you solve the problem?
 How many circles will you need in your diagram
 Where will you place the students who like all 3 sports
 Where will you place the students who like none of the sports?

Answer 1

Wasn't that hard, was it?

Answer 2

No , But I Need Your Help!

Answer 3

Okay, so here's how you do it:

1. First create a 3 Circle Venn Diagram
2. Label each with the given info as follows:

Answer 4

Yess . . .

Answer 5

So you have three circles

The first circle represents how many students like tennis (22)
The second circle represents how many students like football (25)
The third circle represents how many students like baseball (not given)

The inner most area represents how many students like all three (6)

Answer 6

So that is what you start with. The next thing you want to do is fill in these areas: