If 45% of people like tea, 35% like coffee, and 10% like both, what percentage l

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Question: If 45% of people like tea, 35% like coffee, and 10% like both, what percentage like neither tea nor coffee?

Options:

Correct Answer: 30%

Solution:

The percentage of people who like either tea or coffee is 45% + 35% - 10% = 70%. Therefore, those who like neither = 100% - 70% = 30%.

If 45% of people like tea, 35% like coffee, and 10% like both, what percentage like neither tea nor coffee?

If 45% of people like tea, 35% like coffee, and 10% like both, what percentage 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 10%.
Step 4: To find the percentage of people who like either tea or coffee, add the percentages of tea and coffee, then subtract the percentage of those who like both: 45% + 35% - 10%.
Step 5: Calculate the result from Step 4: 45% + 35% = 80%, then 80% - 10% = 70%.
Step 6: To find the percentage of people who like neither tea nor coffee, subtract the percentage from Step 5 from 100%: 100% - 70%.
Step 7: Calculate the result from Step 6: 100% - 70% = 30%.

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.