If 25% of a group like tea, 15% like coffee, and 5% like both, what percentage like either tea or coffee?
Practice Questions
1 question
Q1
If 25% of a group like tea, 15% like coffee, and 5% like both, what percentage like either tea or coffee?
35%
30%
25%
20%
Using inclusion-exclusion, the percentage who like either is 25% + 15% - 5% = 35%.
Questions & Step-by-step Solutions
1 item
Q
Q: If 25% of a group like tea, 15% like coffee, and 5% like both, what percentage like either tea or coffee?
Solution: Using inclusion-exclusion, the percentage who like either is 25% + 15% - 5% = 35%.
Steps: 7
Step 1: Identify the percentage of people who like tea, which is 25%.
Step 2: Identify the percentage of people who like coffee, which is 15%.
Step 3: Identify the percentage of people who like both tea and coffee, which is 5%.
Step 4: To find the percentage of people who like either tea or coffee, use the formula: (Percentage who like tea) + (Percentage who like coffee) - (Percentage who like both).
Step 5: Plug in the numbers: 25% + 15% - 5%.
Step 6: Calculate the result: 25 + 15 = 40, then 40 - 5 = 35.
Step 7: The final answer is that 35% of the group like either tea or coffee.
