In a group of 150 people, 90 like tea, 60 like coffee, and 30 like both. How man

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Question: In a group of 150 people, 90 like tea, 60 like coffee, and 30 like both. How many people like neither tea nor coffee?

Options:

Correct Answer: 60

Solution:

The number of people who like either tea or coffee is: 90 + 60 - 30 = 120. Therefore, those who like neither is: 150 - 120 = 30.

In a group of 150 people, 90 like tea, 60 like coffee, and 30 like both. How many people like neither tea nor coffee?

In a group of 150 people, 90 like tea, 60 like coffee, and 30 like both. How many people like neither tea nor coffee?

Step 1: Identify the total number of people in the group, which is 150.
Step 2: Identify how many people like tea, which is 90.
Step 3: Identify how many people like coffee, which is 60.
Step 4: Identify how many people like both tea and coffee, which is 30.
Step 5: Calculate the number of people who like either tea or coffee using the formula: (people who like tea) + (people who like coffee) - (people who like both). This gives us: 90 + 60 - 30 = 120.
Step 6: To find out how many people like neither tea nor coffee, subtract the number of people who like either from the total number of people: 150 - 120 = 30.

Set Theory – Understanding the union and intersection of sets to determine the total number of unique elements.
Venn Diagrams – Using Venn diagrams to visualize the relationships between different groups.