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?
has 12.
If a total of 13 students belong to only one of the two clubs, how many be-
long to both clubs?
Ask by Estrada Brewer. in Australia
Dec 02,2024
Upstudy AI Solution
Tutor-Verified Answer
Answer
The number of students who belong to both clubs is 7.
Solution

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The Deep Dive
To solve this problem, we can set some variables. Let
represent the number of students who belong to both clubs. Given that there are 15 members in the Maths club and 12 in the Science club, we can denote:
- Students in only the Maths club =
- Students in only the Science club =
According to the problem, the total number of students who belong to only one of the two clubs is 13. Therefore, we can create the equation:
Simplifying this, we get:
Now, solving for
:
Thus, the number of students who belong to both clubs is 7.