There are 36 people in a certain community who belong to the local golf club, tennis club or both clubs. If twice as many people belong to the tennis club as belong to the golf club, what could be the number of people who belong to both clubs?  Choose the correct option
A) 4  B) 7  C) 17  D) 21  E) 27
let's find the range of Both and hence the range of x. Minimum value of Both: Say there is no overlap in the two sets. 36 = x + 2x
x = 12
In this case Both = 0 Maximum value of Both: Say there is maximum overlap between the two sets. One set has x so it could be a subset of the set 2x.
36 = 2x
x = 18 So Both lies between 0 and 18 Only option (C) satisfies this condition. ANSWER:17
<result>C</result>
There are 36 people in a certain community who belong to the local golf club, tennis club or both clubs. If twice as many people belong to the tennis club as belong to the golf club, what could be the number of people who belong to both clubs?