Question: In a survey of 150 people, 90 like tea, 70 like coffee, and 40 like both. How many people like only coffee?
Options:
30
40
50
60
Correct Answer: 40
Solution:
The number of people who like only coffee is |Coffee| - |Both| = 70 - 40 = 30.
In a survey of 150 people, 90 like tea, 70 like coffee, and 40 like both. How ma
Practice Questions
Q1
In a survey of 150 people, 90 like tea, 70 like coffee, and 40 like both. How many people like only coffee?
30
40
50
60
Questions & Step-by-Step Solutions
In a survey of 150 people, 90 like tea, 70 like coffee, and 40 like both. How many people like only coffee?
Step 1: Identify the total number of people who like coffee, which is 70.
Step 2: Identify the number of people who like both tea and coffee, which is 40.
Step 3: To find the number of people who like only coffee, subtract the number of people who like both from the total number of coffee lovers: 70 - 40.
Step 4: Calculate the result: 70 - 40 = 30.
Step 5: Therefore, the number of people who like only coffee is 30.
Set Theory – Understanding the relationships between different groups (sets) of people, specifically those who like tea, coffee, and both.
Venn Diagrams – Using Venn diagrams to visualize the overlap between groups and calculate the number of individuals in each category.
Basic Arithmetic – Performing simple subtraction to find the number of people who like only coffee.
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