A poll was taken of 100 students at a commuter campus to find out how they got to campus. The results are below.
35 said they drove alone.
38 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.
6 used buses as well as their own cars.
1 used all three methods.
Use the figure to answer the question in the problem.
A poll was taken of 100 students at a commuter campus to find out how they got to campus. The results are below.
35 said they drove alone.
38 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.
6 used buses as well as their own cars.
1 used all three methods.
Use the figure to answer the question in the problem.
How many are using all three (Region VII)?
_______students
Use Venn diagrams and fill in the given numbers.
To find out how many students are using all three methods (Region VII), we need to identify the overlapping regions in the figure.
From the given information, we know that:
- 5 students use both carpools and public transportation (Region I).
- 4 students use both a carpool and sometimes their own cars (Region II).
- 6 students use buses as well as their own cars (Region III).
- 1 student uses all three methods (Region VII).
To determine the number of students in Region VII, we need to subtract the number of students in Regions I, II, and III from the total number of students in the poll.
Total students = 100
Students in Region I = 5
Students in Region II = 4
Students in Region III = 6
Therefore, to find the number of students in Region VII, we subtract the sum of these regions from the total number of students:
Region VII = Total students - (Students in Region I + Students in Region II + Students in Region III)
Region VII = 100 - (5 + 4 + 6)
Region VII = 100 - 15
Region VII = 85
Therefore, 85 students are using all three methods (Region VII).