If 50% of a group of 200 people like apples, 30% like bananas, and 10% like both
Practice Questions
Q1
If 50% of a group of 200 people like apples, 30% like bananas, and 10% like both, what percentage like only apples?
40%
30%
20%
10%
Questions & Step-by-Step Solutions
If 50% of a group of 200 people like apples, 30% like bananas, and 10% like both, what percentage like only apples?
Step 1: Determine the total number of people in the group, which is 200.
Step 2: Calculate the number of people who like apples. Since 50% like apples, that is 50% of 200.
Step 3: Calculate 50% of 200, which is 100 people who like apples.
Step 4: Determine the number of people who like bananas. Since 30% like bananas, that is 30% of 200.
Step 5: Calculate 30% of 200, which is 60 people who like bananas.
Step 6: Determine the number of people who like both apples and bananas, which is given as 10%.
Step 7: Calculate 10% of 200, which is 20 people who like both fruits.
Step 8: To find the number of people who like only apples, subtract the number of people who like both from the total number of people who like apples.
Step 9: So, 100 (people who like apples) - 20 (people who like both) = 80 people who like only apples.
Step 10: To find the percentage of people who like only apples, divide the number of people who like only apples by the total number of people and multiply by 100.
Step 11: So, (80 / 200) * 100 = 40%. Therefore, 40% of the group likes only apples.
Set Theory – Understanding the relationships between different groups and how to calculate exclusive preferences.
Percentage Calculation – Calculating percentages based on given data and understanding how to apply them to a total population.
