If 45% of people prefer tea, 35% prefer coffee, and 15% prefer both, what is the

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Question: If 45% of people prefer tea, 35% prefer coffee, and 15% prefer both, what is the percentage of people who prefer only tea?

Options:

Correct Answer: 30%

Solution:

The percentage of people who prefer only tea is |Tea| - |Both| = 45% - 15% = 30%.

If 45% of people prefer tea, 35% prefer coffee, and 15% prefer both, what is the percentage of people who prefer only tea?

If 45% of people prefer tea, 35% prefer coffee, and 15% prefer both, what is the percentage of people who prefer only tea?

Step 1: Identify the percentage of people who prefer tea, which is 45%.
Step 2: Identify the percentage of people who prefer both tea and coffee, which is 15%.
Step 3: To find the percentage of people who prefer only tea, subtract the percentage of people who prefer both from the percentage of people who prefer tea.
Step 4: Perform the subtraction: 45% (prefer tea) - 15% (prefer both) = 30%.
Step 5: The result, 30%, is the percentage of people who prefer only tea.

Set Theory – Understanding the relationships between different groups, specifically how to calculate the exclusive preferences in a survey.
Percentage Calculation – Ability to perform basic arithmetic operations with percentages to derive specific values.