If 70% of students in a school play football, 50% play basketball, and 20% play

If 70% of students in a school play football, 50% play basketball, and 20% play both, what percentage of students play either football or basketball?

If 70% of students in a school play football, 50% play basketball, and 20% play both, what percentage of students play either football or basketball?

Step 1: Identify the percentage of students who play football, which is 70%.
Step 2: Identify the percentage of students who play basketball, which is 50%.
Step 3: Identify the percentage of students who play both sports, which is 20%.
Step 4: To find the percentage of students who play either football or basketball, use the formula: (Percentage of football players) + (Percentage of basketball players) - (Percentage of both).
Step 5: Plug in the numbers: 70% + 50% - 20%.
Step 6: Calculate the result: 70 + 50 = 120, then 120 - 20 = 100.
Step 7: The final answer is that 100% 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.