Question

1250 students were surveyed, 911 drank alcohol or used illegal drugs, 425 drank alcohol only, 16 drank alcohol and used illegal drugs but did not smoke cigarettes. How many drank alcohol or smoked cigarettes but did not use illegal drugs?

Answer 1

e)

The venn diagram representing this scenario is shown below

From the venn diagram,

A represents the set that take alcohol

S represents the set that smoke

L represents the set that take illegal drugs

The number that drank alcohol or smoked but did not use illegal drugs = 425 + 310 + 208

The number that drank alcohol or smoked but did not use illegal drugs = 943