# Math 104

posted by .

A poll was taken of 100 students at a commuter campus to find out how they got to campus. The results were as follows:
34 said they drove alone.
24 rode in a carpool.
28 rode public transportation.
3 used both carpools and public transportation.
3 used both a carpool and sometimes their own cars.
5 used buses as well as their own cars.
1 used all three methods.
How many used none of the above-mentioned means of transportation?

• Math 104 -

Number(A OR B OR C)
=NUMBER(A) + NUMBER(B) + Number(C) - Number(A AND B) - Number(A OR C) - Number(B AND C) + Number(A AND B AND C)
= 34+24+28 - 3 - 3 - 5 + 1
= 76

So 24 are not accounted for, they must have used none of the above

You could also use Venn diagrams

## Similar Questions

1. ### Algebra with applications

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. 36 rode in a carpool. 36 rode public transportation. 6 used both carpools and public transportation. …
2. ### Algebra with applications

A poll was taken of 100 students at a commuter campus to find out how they got to campus. The results were as follows: 23 said they drove alone. 30 rode in a carpool. 31 rode public transportation. 4 used both carpools and public transportation. …
3. ### algebra

A poll was taken of 100 students at a commuter campus to find out how they got to campus. The results were as follows: 26 said they drove alone. 34 rode in a carpool. 34 rode public transportation. 7 used both carpools and public transportation. …
4. ### algebra

A poll was taken of 100 students at a commuter campus to find out how they got to campus. The results were as follows: 28 said they drove alone. 37 rode in a carpool. 27 rode public transportation. 8 used both carpools and public transportation. …
5. ### Math

A poll was taken of 100 students at a commuter campus to find out how they got to campus. The results were as follows: 33 said they drove alone. 31 rode in a carpool. 37 rode public transportation. 9 used both carpools and public transportation. …
6. ### math

A poll was taken of 100 students at a commuter campus to find out how they got to campus. The results were as follows: 32 said they drove alone. 33 rode in a carpool. 35 rode public transportation. 9 used both carpools and public transportation. …
7. ### algebra

A poll was taken of 100 students at a commuter campus to find out how they got to campus. The results were as follows: 27 said they drove alone. 30 rode in a carpool. 34 rode public transportation. 4 used both carpools and public transportation. …
8. ### Algebra

A poll was taken of 100 students at a commuter campus to find out how they got to campus. The results were as follows: 31 said they drove alone, 39 rode in carpool, 35 rode public transportation, 10 used both carpool and public transportation, …
9. ### math venn

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. …
10. ### algebra

A poll was taken of 100 students at a commuter campus to find out how they got to campus. The results were as follows: 34 said they drove alone. 33 rode in a carpool. 29 rode public transportation. 6 used both carpools and public transportation. …

More Similar Questions