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After reading a book for English class, 100 students were asked whether or not they enjoyed it. Nine twenty-fifths of the class did not like the book. How many students liked the book?

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VerifiedAnswered 2 years ago

Answered 2 years ago

Step 1

1 of 2It is given that 100 students were asked whether or not they enjoyed a book and nine twenty-fifths, which is the fraction $\dfrac{9}{25}$, said they did not like the book. We need to find the number of students who did like the book.

First, we can use the given fraction to find the number of students who did not like the book:

$100\times\dfrac{9}{25}=\dfrac{900}{25}=36$

Since 36 students did not like the book, then $100-36=\boxed{64\text{ students}}$ did like the book.

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