In a survey, 60% of respondents preferred coffee over tea. If 30% of the coffee
Practice Questions
Q1
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?
18%
30%
60%
12%
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.
