Concept explainers
Each student at a particular school participates in at least one type of activity-sports or music. Fifty students participate in both sports and music. Two hundred students participate in sports. Fifty students participate in music only. There are a total of 250 students at the school. How many students only participate in sports?
To find: The number of students who participate only in sports .
Answer to Problem 18P
Number of students who participate in sports only is 150.
Explanation of Solution
Given information: Each student at a particular school participates in at least one type of activity-sports or music. Fifty students participate in sports and music. Two hundred students participate in sports. Fifty students participate in music only. There are a total of 250 students at the school.
Calculation:
Let the set of students who participate in sports be represented by set A and the set of students who participate in music be represented by set B.
Then, according to given information, we have
Now, the number of students who participates in sports only is
Thus, the number of students who participate in sports only is 150.
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