Question

35 teenagers were asked what takeaways they liked to eat.

Answer 1

The number of teenagers that liked Indian only is 11 students.

How to use Venn Diagrams?

Counting students who liked Chinese and pizza

There were 35 teenagers altogether.

• 24 liked Chinese

• 16 liked Indian

• 10 liked pizza

Since all the students who liked pizza also liked Chinese, and no student liked all three, we can just think about the remaining 25 students.

Of these, 14 liked Chinese and 16 liked Indian.

Since each student liked at least one of these, and there are a total of 30 'likes', then 5 students must like both Indian and Chinese.

This leaves 11 students who liked Indian only.

Thus, we conclude that the number of teenagers that liked Indian only is 11 students.

Read more about Venn Diagrams at; brainly.com/question/24713052

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