# Club R has 11 members and club T has 16 members. If a total of 20 people belong to the two clubs, how many people belong to both clubs?

(16-x)+(11-x)+x=20

Answer is 7

## To find the number of people who belong to both clubs, you can set up an equation. Let's assume that x represents the number of people who belong to both clubs.

Club R has 11 members, and Club T has 16 members. So, the number of people who belong exclusively to Club R is (11-x), and the number of people who belong exclusively to Club T is (16-x).

Since the total number of people who belong to both clubs and either club exclusively is 20, we can write the equation:

(11-x) + (16-x) + x = 20.

We can simplify the equation as follows:

11-x + 16-x + x = 20

27 - 2x + x = 20

27 - x = 20

-x = 20 - 27

-x = -7

To solve for x, we multiply both sides of the equation by -1:

x = 7

Therefore, there are 7 people who belong to both Club R and Club T.