Question

An anonymous survey of college students was taken to determine behaviors regarding alcohol, cigarettes, and illegal drugs. The results were as follows: 844 drank alcohol regularly, 626 smoked cigarettes, 200 used illegal drugs, 397 drank alcohol regularly and smoked cigarettes, 115 drank alcohol and used illegal drugs, 118 smoked cigarettes and used illegal drugs, 91 engaged in all three behaviors, and 169 engaged in none of these behaviors. How many students were surveyed?

Answer 1

Given that:

• 844 drank alcohol regularly.

• 626 smoked cigarettes.

,

• 200 used illegal drugs.

,

• 397 drank alcohol regularly and smoked cigarettes.

,

• 115 drank alcohol and used illegal drugs.

,

• 118 smoked cigarettes and used illegal drugs.

• 91 engaged in all three behaviors.

• 169 engaged in none of these behaviors.

You can identify that you must add these values:

`844+626+200+169=1839`

In order to find the total number of students that were surveyed, you need to subtract the other values from the Sum obtained above:

`1839-397-115-118-91=1117`

Hence, the answer is:

`1117\text{ }students`