If 60% of students play football, 40% play basketball, and 10% play both, what p
Practice Questions
Q1
If 60% of students play football, 40% play basketball, and 10% play both, what percentage of students play either sport?
90%
80%
70%
60%
Questions & Step-by-Step Solutions
If 60% of students play football, 40% play basketball, and 10% play both, what percentage of students play either sport?
Step 1: Identify the percentage of students who play football, which is 60%.
Step 2: Identify the percentage of students who play basketball, which is 40%.
Step 3: Identify the percentage of students who play both sports, which is 10%.
Step 4: To find the percentage of students who play either sport, use the formula: percentage playing football + percentage playing basketball - percentage playing both.
Step 5: Plug in the numbers: 60% + 40% - 10%.
Step 6: Calculate the result: 60 + 40 = 100, then 100 - 10 = 90.
Step 7: The final answer is that 90% of students play either football or basketball.
Inclusion-Exclusion Principle – A method used to calculate the size of the union of two sets by adding the sizes of the individual sets and subtracting the size of their intersection.
