In a survey of 100 people, 60 like tea, 50 like coffee, and 30 like both. How many people like either tea or coffee?
Practice Questions
1 question
Q1
In a survey of 100 people, 60 like tea, 50 like coffee, and 30 like both. How many people like either tea or coffee?
80
70
50
30
Using the principle of inclusion-exclusion, the number of people who like either tea or coffee is 60 + 50 - 30 = 80.
Questions & Step-by-step Solutions
1 item
Q
Q: In a survey of 100 people, 60 like tea, 50 like coffee, and 30 like both. How many people like either tea or coffee?
Solution: Using the principle of inclusion-exclusion, the number of people who like either tea or coffee is 60 + 50 - 30 = 80.
Steps: 6
Step 1: Identify the number of people who like tea. This is given as 60.
Step 2: Identify the number of people who like coffee. This is given as 50.
Step 3: Identify the number of people who like both tea and coffee. This is given as 30.
Step 4: To find the number of people who like either tea or coffee, use the formula: (Number of tea lovers) + (Number of coffee lovers) - (Number of people who like both).
Step 5: Plug in the numbers: 60 (tea) + 50 (coffee) - 30 (both) = 80.
Step 6: The result, 80, is the number of people who like either tea or coffee.
