At the Heights School, the Maths club has 15 members and the Science club
has 12.
If a total of 13 students belong to only one of the two clubs, how many be-
long to both clubs?

Question

At the Heights School, the Maths club has 15 members and the Science club has 12. If a total of 13 students belong to only one of the two clubs, how many be- long to both clubs?

UpStudy AI · Accepted Answer

Let $$ x $$ be the number of students who belong to both clubs.

The number of students who belong only to the Maths club is $$ 15 - x $$, and the number of students who belong only to the Science club is $$ 12 - x $$.

According to the problem, the total number of students who belong to only one of the two clubs is 13. Therefore, we can set up the following equation:

$$
(15 - x) + (12 - x) = 13
$$

Simplifying this equation:

$$
27 - 2x = 13
$$

Now, subtract 27 from both sides:

$$
-2x = 13 - 27
$$
$$
-2x = -14
$$

Dividing both sides by -2 gives:

$$
x = 7
$$

Thus, the number of students who belong to both clubs is $$ \boxed{7} $$.
The number of students who belong to both clubs is 7.

At the Heights School, the Maths club has 15 members and the Science club
has 12.
If a total of 13 students belong to only one of the two clubs, how many be-
long to both clubs?

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