If 60% of students like reading, 40% like writing, and 10% like both, what perce
Practice Questions
Q1
If 60% of students like reading, 40% like writing, and 10% like both, what percentage of students like either reading or writing?
90%
80%
70%
60%
Questions & Step-by-Step Solutions
If 60% of students like reading, 40% like writing, and 10% like both, what percentage of students like either reading or writing?
Step 1: Identify the percentage of students who like reading, which is 60%.
Step 2: Identify the percentage of students who like writing, which is 40%.
Step 3: Identify the percentage of students who like both reading and writing, which is 10%.
Step 4: To find the percentage of students who like either reading or writing, use the formula: (Percentage who like reading) + (Percentage who like writing) - (Percentage who like 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 like either reading or writing.
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.
Percentage Calculation – Understanding how to calculate percentages and interpret them in the context of a problem.
