Using Venn Diagrams to Solve
Problems
Tyler McKell
The Problem…
Out of a group of 100 there are:
 60 people that speak English
 18 people that speak French
 40 people that speak Spanish
 4 speak both English and French
 7 speak both French and Spanish
 10 speak both English and Spanish
 3 people speak all three languages
Making the Diagram
 Create a circle to represent each group.
 The overlapping part of the circles represents what the
groups have in common.
Making the Venn Diagram
 Tip: Start with the intersections and work your way out.
 3 people speak all three languages
3
Don’t Double Count!
 4 speak both English and French
 7 speak both French and Spanish
 10 speak both English and Spanish
1
7
3
4
Don’t Double Count!
 60 people that speak English
 18 people that speak French
 40 people that speak Spanish
1
49
7
3
26
10
4