In a survey, 60% of respondents preferred coffee over tea. If 30% of the coffee

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What’s inside this PDF?

Question: In a survey, 60% of respondents preferred coffee over tea. If 30% of the coffee drinkers also liked tea, what percentage of the total respondents liked both?

Options:

Correct Answer: 18%

Solution:

30% of 60% is 18%, which represents the percentage of total respondents who liked both.

In a survey, 60% of respondents preferred coffee over tea. If 30% of the coffee

Practice Questions

In a survey, 60% of respondents preferred coffee over tea. If 30% of the coffee drinkers also liked tea, what percentage of the total respondents liked both?

Questions & Step-by-Step Solutions

In a survey, 60% of respondents preferred coffee over tea. If 30% of the coffee drinkers also liked tea, what percentage of the total respondents liked both?

Step 1: Understand that 60% of the respondents prefer coffee.
Step 2: Calculate how many people that 60% represents. If there are 100 respondents, then 60% means 60 people prefer coffee.
Step 3: Know that 30% of the coffee drinkers also like tea. So, calculate 30% of the 60 coffee drinkers.
Step 4: To find 30% of 60, multiply 60 by 0.30 (which is the decimal form of 30%).
Step 5: 60 * 0.30 = 18. This means 18 people like both coffee and tea.
Step 6: Since there were 100 total respondents, to find the percentage of total respondents who liked both, divide 18 by 100 and multiply by 100.
Step 7: 18 / 100 = 0.18, and 0.18 * 100 = 18%. Therefore, 18% of the total respondents liked both coffee and tea.

Percentage Calculation – Understanding how to calculate percentages of a total and how to apply them in a survey context.
Joint Probability – Recognizing the relationship between two preferences (coffee and tea) and how to calculate the overlap.

In a survey, 60% of respondents preferred coffee over tea. If 30% of the coffee

What’s inside this PDF?

In a survey, 60% of respondents preferred coffee over tea. If 30% of the coffee

Practice Questions

Questions & Step-by-Step Solutions

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