A poll was taken of 100 students at a commuter campus to find out how they got to campus. The results are below. How many are not using any of the three?
35 said they drove alone.
24 rode in a carpool.
33 rode public transportation.
5 used both carpools and public transportation.
4 used both a carpool and sometimes their own cars.
7 used buses as well as their own cars.
2 used all three methods.
To determine the number of students who are not using any of the three methods, we need to subtract the number of students who used at least one of the methods (driving alone, carpooling, or public transportation) from the total number of students.
Let's break down the information given:
- 35 students drove alone.
- 24 students rode in a carpool.
- 33 students rode public transportation.
- 5 students used both carpool and public transportation.
- 4 students used both a carpool and sometimes their own cars.
- 7 students used buses as well as their own cars.
- 2 students used all three methods.
First, let's find the total number of students who used at least one method:
Total number of students who used at least one method = (35 drove alone) + (24 carpool) + (33 public transportation) - (5 used both carpool and public transportation) - (4 used both carpool and own cars) - (7 used buses and own cars) + (2 used all three methods)
= 35 + 24 + 33 - 5 - 4 - 7 + 2
= 78
Now, let's calculate the number of students who are not using any of the three methods:
Number of students not using any of the three methods = Total number of students - Number of students who used at least one method
= 100 - 78
= 22
Therefore, there are 22 students who are not using any of the three methods to get to campus.