In a class of 120 students, 30 of them play football, 60 of them play basketball, and 15 of them play both. How many students do not play either of these sports?Question 18Answera.50b.45c.39d.60
Question
In a class of 120 students, 30 of them play football, 60 of them play basketball, and 15 of them play both. How many students do not play either of these sports?Question 18Answera.50b.45c.39d.60
Solution
To solve this problem, we first need to understand that some students play both sports. This means they are being counted twice in the total of students who play football and basketball.
Step 1: Add the number of students who play football and basketball. 30 (football) + 60 (basketball) = 90 students
Step 2: Subtract the number of students who play both sports because they have been counted twice. 90 (total from step 1) - 15 (both sports) = 75 students
These 75 students are the ones who play either football or basketball or both.
Step 3: Subtract the number of students who play either sport from the total number of students to find out how many students do not play either sport. 120 (total students) - 75 (students who play sports) = 45 students
So, 45 students do not play either football or basketball. Therefore, the answer is b.45.
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