In a college library, there are 4 times as many nonfiction books as fiction books.
A.Find the ratio of the number of nonfiction books to the number of fiction books.
B.How many times the number of nonfiction books is the number of fiction books?
C.Suppose the fiction books is 2/7 times the number of nonfiction books.What would be the ratio of the number of nonfiction books to the total numbers of books?
4/1
4:1
Can someone list the solution for a, b, andc?
A. 4/1
B. 1/4
C. 7/9
To solve these questions, we need to use the given information that there are 4 times as many nonfiction books as fiction books.
A. To find the ratio of the number of nonfiction books to the number of fiction books, we can express this as a fraction. Let's assume the number of fiction books is represented by 'x'. According to the information given, the number of nonfiction books is 4 times the number of fiction books, which would be 4x. Therefore, the ratio is 4x / x, which simplifies to 4:1.
B. To determine how many times the number of nonfiction books is the number of fiction books, we can again use the given information. Since there are 4 times as many nonfiction books as fiction books, we divide the number of nonfiction books by the number of fiction books. So, the ratio is 4x / x = 4.
C. If the number of fiction books is 2/7 times the number of nonfiction books, let's represent the number of nonfiction books as 'y'. The number of fiction books would be (2/7)y. To find the ratio of the number of nonfiction books to the total number of books, we need to consider both fiction and nonfiction books. The total number of books is the sum of the number of fiction books and the number of nonfiction books, which is (2/7)y + y = (9/7)y. Therefore, the ratio of the number of nonfiction books to the total number of books is y / (9/7)y, which simplifies to 1:9/7 or 7:9.