In a group of 150 people, 90 like basketball, 60 like soccer, and 30 like both.

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Question: In a group of 150 people, 90 like basketball, 60 like soccer, and 30 like both. How many people like neither sport?

Options:

Correct Answer: 30

Solution:

The number of people who like at least one sport is 90 + 60 - 30 = 120, so those who like neither is 150 - 120 = 30.

In a group of 150 people, 90 like basketball, 60 like soccer, and 30 like both. How many people like neither sport?

In a group of 150 people, 90 like basketball, 60 like soccer, and 30 like both. How many people like neither sport?

Step 1: Identify the total number of people in the group, which is 150.
Step 2: Identify how many people like basketball, which is 90.
Step 3: Identify how many people like soccer, which is 60.
Step 4: Identify how many people like both sports, which is 30.
Step 5: Calculate the number of people who like at least one sport using the formula: (people who like basketball) + (people who like soccer) - (people who like both). This gives us 90 + 60 - 30 = 120.
Step 6: To find out how many people like neither sport, subtract the number of people who like at least one sport from the total number of people: 150 - 120 = 30.

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