If 25% of a group of 200 people like tea, 15% like coffee, and 5% like both, wha
Practice Questions
Q1
If 25% of a group of 200 people like tea, 15% like coffee, and 5% like both, what percentage like only tea?
20%
15%
10%
5%
Questions & Step-by-Step Solutions
If 25% of a group of 200 people like tea, 15% like coffee, and 5% like both, what percentage like only tea?
Step 1: Calculate the number of people who like tea. 25% of 200 is 0.25 * 200 = 50 people.
Step 2: Calculate the number of people who like coffee. 15% of 200 is 0.15 * 200 = 30 people.
Step 3: Calculate the number of people who like both tea and coffee. 5% of 200 is 0.05 * 200 = 10 people.
Step 4: To find the number of people who like only tea, subtract the number of people who like both from the number of people who like tea. So, 50 (people who like tea) - 10 (people who like both) = 40 people who like only tea.
Step 5: To find the percentage of people who like only tea, divide the number of people who like only tea by the total number of people and multiply by 100. So, (40 / 200) * 100 = 20%.
Percentage Calculation – Understanding how to calculate percentages of a total group and how to apply them to find specific subsets.
Set Theory – Applying the principles of set theory to determine the number of people in overlapping categories (those who like both tea and coffee).
