In a survey, 60% of respondents preferred coffee over tea. If 30% of those who p
Practice Questions
Q1
In a survey, 60% of respondents preferred coffee over tea. If 30% of those who preferred coffee also liked tea, what percentage of respondents liked only coffee?
30%
60%
42%
18%
Questions & Step-by-Step Solutions
In a survey, 60% of respondents preferred coffee over tea. If 30% of those who preferred coffee also liked tea, what percentage of respondents liked only coffee?
Step 1: Understand that 60% of the respondents preferred coffee.
Step 2: Recognize that 30% of those who preferred coffee also liked tea.
Step 3: Calculate how many respondents liked both coffee and tea. This is 30% of the 60% who preferred coffee.
Step 4: Calculate 30% of 60%. This is 0.30 * 60 = 18%. So, 18% of all respondents liked both coffee and tea.
Step 5: To find out how many liked only coffee, subtract the percentage of those who liked both from the total percentage of coffee lovers. This is 60% - 18% = 42%.
Step 6: Therefore, 42% of the respondents liked only coffee.
