After reading a book for English class, 100 students were asked whether or not they enjoyed it. Nine-twenty fifths of the students did not like the book. How many students liked the book?
The correct answer and explanation is:
The first step is to understand the problem. The total number of students surveyed is 100. Out of these students, 9/25 did not like the book. To find how many students did not like the book, multiply the fraction by the total number of students: Number of students who did not like the book=925×100=36\text{Number of students who did not like the book} = \frac{9}{25} \times 100 = 36
This means 36 students did not like the book. Now, to determine how many students liked the book, subtract the number of students who did not like the book from the total number of students: Number of students who liked the book=100−36=64\text{Number of students who liked the book} = 100 – 36 = 64
Therefore, 64 students liked the book.
Explanation:
The fraction 9/25 represents the portion of students who did not like the book. To convert this into a number, we multiply it by the total number of students (100). This gives us the number of students who did not enjoy the book. After determining how many students did not like the book, we subtract this from the total number of students surveyed to find the number of students who enjoyed it.
By performing this simple calculation, we find that 64 students liked the book. This method uses basic operations such as multiplication and subtraction to solve the problem step by step.