If 50% of a group prefers tea, 30% prefers coffee, and 10% prefers both, what is

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Question: If 50% of a group prefers tea, 30% prefers coffee, and 10% prefers both, what is the percentage that prefers either tea or coffee?

Options:

Correct Answer: 70%

Solution:

The percentage that prefers either tea or coffee is 50% + 30% - 10% = 70%.

If 50% of a group prefers tea, 30% prefers coffee, and 10% prefers both, what is the percentage that prefers either tea or coffee?

If 50% of a group prefers tea, 30% prefers coffee, and 10% prefers both, what is the percentage that prefers either tea or coffee?

Step 1: Identify the percentage of people who prefer tea, which is 50%.
Step 2: Identify the percentage of people who prefer coffee, which is 30%.
Step 3: Identify the percentage of people who prefer both tea and coffee, which is 10%.
Step 4: To find the percentage of people who prefer either tea or coffee, add the percentage of tea and coffee preferences together: 50% + 30%.
Step 5: Subtract the percentage of people who prefer both tea and coffee from the total: 50% + 30% - 10%.
Step 6: Calculate the result: 50% + 30% = 80%, then 80% - 10% = 70%.
Step 7: The final answer is that 70% of the group prefers either tea or coffee.

Set Theory – Understanding how to calculate the union of two sets, accounting for overlap.
Percentage Calculation – Ability to manipulate and interpret percentages in a given context.