If 45% of people like tea, 35% like coffee, and 15% like both, what percentage o
Practice Questions
Q1
If 45% of people like tea, 35% like coffee, and 15% like both, what percentage of people like neither tea nor coffee?
25%
15%
30%
20%
Questions & Step-by-Step Solutions
If 45% of people like tea, 35% like coffee, and 15% like both, what percentage of people like neither tea nor coffee?
Step 1: Identify the percentage of people who like tea, which is 45%.
Step 2: Identify the percentage of people who like coffee, which is 35%.
Step 3: Identify the percentage of people who like both tea and coffee, which is 15%.
Step 4: To find the percentage of people who like either tea or coffee, add the percentage of tea lovers (45%) and coffee lovers (35%), then subtract the percentage of those who like both (15%). This gives you 45% + 35% - 15% = 65%.
Step 5: To find the percentage of people who like neither tea nor coffee, subtract the percentage of people who like either from 100%. This gives you 100% - 65% = 35%.
Set Theory – Understanding the union and intersection of sets to calculate percentages.
Percentage Calculation – Calculating percentages based on given data and applying the principle of inclusion-exclusion.
