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?
26 said they drove alone.
33 rode in a carpool.
35 rode public transportation.
8 used both carpools and public transportation.
4 used both a carpool and sometimes their own cars.
6 used buses as well as their own cars.
3 used all three methods.
students
(26+33+35) - (1+2+3) + 3 = 91
So, 9 went some other way
A poll was taken of 100 students at a commuter campus to find out how they got to campus. The results were as follows:
37 said they drove alone.
37 rode in a carpool.
34 rode public transportation.
5 used both carpools and public transportation.
9 used both a carpool and sometimes their own cars.
6 used buses as well as their own cars.
4 used all three methods.
How many used none of the above-mentioned means of transportation?
students
To find out how many students are not using any of the three transportation methods, we need to subtract the total number of students who used at least one of the methods from the total number of students surveyed.
Let's break down the information provided:
- 26 students said they drove alone.
- 33 students rode in a carpool.
- 35 students rode public transportation.
- 8 students used both carpools and public transportation.
- 4 students used both a carpool and sometimes their own cars.
- 6 students used buses as well as their own cars.
- 3 students used all three methods.
To determine the total number of students who used at least one of the methods, we can add up the numbers for each method:
26 (drove alone) + 33 (carpool) + 35 (public transportation) = 94
However, this sum includes some students who used multiple methods. To avoid double-counting, we need to subtract the number of students who used more than one method.
Let's identify the double-counted students in each overlapping category:
- 8 students used both carpools and public transportation.
- 4 students used both a carpool and sometimes their own cars.
- 6 students used buses as well as their own cars.
- 3 students used all three methods.
Adding up these numbers, we have a total of 8 + 4 + 6 + 3 = 21 students who used more than one method.
Now, let's subtract the double-counted students from the total number of students who used at least one method:
94 (total) - 21 (double-counted) = 73
Therefore, there are 73 students who used at least one of the three methods.
To find the number of students who are not using any of the three methods, we subtract this number from the total number of students surveyed:
100 (total surveyed) - 73 (using at least one method) = 27
So, 27 students are not using any of the three transportation methods.