If 60% of students play cricket, 40% play football, and 10% play both, what percentage of students play either cricket or football?
Practice Questions
1 question
Q1
If 60% of students play cricket, 40% play football, and 10% play both, what percentage of students play either cricket or football?
90%
80%
70%
60%
Using inclusion-exclusion, the percentage of students who play either cricket or football is: 60% + 40% - 10% = 90%.
Questions & Step-by-step Solutions
1 item
Q
Q: If 60% of students play cricket, 40% play football, and 10% play both, what percentage of students play either cricket or football?
Solution: Using inclusion-exclusion, the percentage of students who play either cricket or football is: 60% + 40% - 10% = 90%.
Steps: 8
Step 1: Understand that 60% of students play cricket.
Step 2: Understand that 40% of students play football.
Step 3: Understand that 10% of students play both cricket and football.
Step 4: To find the percentage of students who play either cricket or football, we need to add the percentages of students who play cricket and football.
Step 5: Add the percentage of cricket players (60%) and football players (40%). This gives us 60% + 40% = 100%.
Step 6: Since 10% of students are counted in both cricket and football, we need to subtract this overlap from the total we calculated in Step 5.
Step 7: Subtract the percentage of students who play both (10%) from the total (100%). This gives us 100% - 10% = 90%.
Step 8: Therefore, 90% of students play either cricket or football.
