A poll was taken of 100 students at a commuter campus to find out how they got to campus. The results are below.
36 said they drove alone.
31 rode in a carpool.
32 rode public transportation.
6 used both carpools and public transportation.
7 used both a carpool and sometimes their own cars.
4 used buses as well as their own cars.
3 used all three methods.
You would add up all the numbers in the survey, then subtract that number by the number of people surveyed to get your answer.
umm. Is there a question somewhere in there?
To determine how many students used each method of transportation to commute to the campus, we can use a Venn diagram. Let's break down the information step-by-step:
1. Start by drawing three intersecting circles, representing driving alone, carpooling, and public transportation.
2. In the first circle (driving alone), write down the number of students who drove alone, which is 36.
3. In the second circle (carpooling), write down the number of students who rode in a carpool, which is 31.
4. In the third circle (public transportation), write down the number of students who rode public transportation, which is 32.
5. Now let's fill in the overlapping regions based on the given data.
- 6 students used both carpools and public transportation, so write 6 in the intersection of the carpooling and public transportation circles.
- 7 students used both a carpool and sometimes their own cars, so write 7 in the intersection of the driving alone and carpooling circles.
- 4 students used buses as well as their own cars, so write 4 in the intersection of the driving alone and public transportation circles.
6. Lastly, we know that 3 students used all three methods of transportation. Since there is only one intersection left, which is the intersection of all three circles, write 3 there.
Now, we can add up the numbers in each region to determine the total count for each method of transportation:
- Number of students driving alone: 36 + 7 + 4 + 3 = 50
- Number of students carpooling: 31 + 6 + 7 + 3 = 47
- Number of students using public transportation: 32 + 6 + 4 + 3 = 45
Therefore, there were 50 students who drove alone, 47 students who carpool, and 45 students who used public transportation to commute to the campus.