Question

Use a Venn Diagram to find the answer to this question: In a party, we have 35 students, 30 people with cars, 35 people who are not students, and 20 students with cars. How many people in this party are not students and do not have a car?

a. 15.
b. 10
c. 25
d. None of the above.

Answer 1

Using the principles of a Venn Diagram, the number of people in this party who are not students and do not have a car is c. 25.

The total number of students in the party = 35

The number of students with cars = 20

The number of students without cars = 15 (35 - 20)

The number of people with cars = 30

The number of non-students with cars = 10 (30 - 2)

The total number of non-students in the party = 35

The number of non-students without cars = 25 (35 - 10)

Table

With Cars Without Cars Total

Students 20 15 35

Non-Students 10 25 35

Total 30 40 70

Thus, we can conclude that 25 non-students came to the party without cars