A poll was taken of 100 students at a commuter campus to find out how they got to campus. The results were as follows:
29 said they drove alone.
25 rode in a carpool.
30 rode public transportation.
7 used both carpools and public transportation.
6 used both a carpool and sometimes their own cars.
8 used buses as well as their own cars.
5 used all three methods.
How many used none of the above-mentioned means of transportation?
What did you find in your Venn Diagram?
that the answer is 47 is that right?
check my reply to this post
http://www.jiskha.com/display.cgi?id=1382280503
It is the same question, only the numbers have been changed. Follow the same method
ok i will but i guess 47 was wrong?
we could do it this way:
number(alone or carpool or public)
= 29 + 25+30 - 7 - 6 - 8 + 5
= 68
so number without any of those = 100 - 68 = 32
Thank you I like and understand this way better
To find out how many students used none of the mentioned means of transportation, we need to subtract the number of students who used at least one method of transportation from the total number of students (100).
To calculate the number of students who used at least one method of transportation, we need to add up the number of students who used each individual method (driving alone, carpool, and public transportation), and subtract the number of students who used multiple methods.
Let's break it down step by step:
1. Calculate the number of students who used at least one method:
- Number of students who drove alone: 29
- Number of students who rode in a carpool: 25
- Number of students who rode public transportation: 30
Total number of students who used at least one method = 29 + 25 + 30 = 84
2. Calculate the number of students who used multiple methods:
- Number of students who used both carpools and public transportation: 7
- Number of students who used a carpool and sometimes their own cars: 6
- Number of students who used buses as well as their own cars: 8
- Number of students who used all three methods: 5
Total number of students who used multiple methods = 7 + 6 + 8 + 5 = 26
3. Calculate the number of students who used none of the mentioned means of transportation:
Total number of students who used none of the mentioned means of transportation = Total number of students - Total number of students who used at least one method
= 100 - 84 = 16
Therefore, 16 students used none of the above-mentioned means of transportation.