Answer:
The number of students who liked the book was 64.
Step-by-step explanation:
After reading a book for English class, 100 students were asked whether or not they enjoyed it.
Now, given that nine twenty-fifths of the class did not like the book.
So, [tex]\frac{9}{25}[/tex] of the whole class did not like the book.
Then, the fraction of the class who did like the book was [tex](1 - \frac{9}{25}) = \frac{16}{25}[/tex].
Therefore, the number of students who liked the book was [tex](100 \times \frac{16}{25}) = 64[/tex]. (Answer)