The ratio of the number of mystery books to the number of science fiction books is 4:3. The ratio of the number of science fiction books to the number of biographies is 4:5. If there are 48 science fiction books, find the total number of books.

Question

Illustrate an image of a full bookshelf, divided into three distinct sections, without any text. The first section features mystery books with a notable dominance of colors like red and black. Each cover hints mysteries, such as spyglasses, footprints or fingerprints. The middle section contains science fiction books with a multitude of bright colors, featuring aliens, spaceships or futuristic cities. The last section comprises biographies decorated with realistic depictions of various people and significant life events. Please maintain the ratios as per the instructions, equating to 4:3:5 for mystery, science fiction, and biographies respectively.

The ratio of the number of mystery books to the number of science fiction books is 4:3. The ratio of the number of science fiction books to the number of biographies is 4:5. If there are 48 science fiction books, find the total number of books.

Answer 1

48 / 3 = 16

16 * 4 = 64
48 / 4 = 12
12 * 5 = 60
60 + 64 + 48 = 172

Answer 2

Why did the science fiction book go to therapy? Because it had some unresolved plot issues! But let's solve this mystery and find the answer to your question.

Given that the ratio of science fiction books to biographies is 4:5, and we know there are 48 science fiction books, we can set up the equation:

4/5 = 48/B

Cross-multiplying, we find that 4B = 5 * 48, which simplifies to B = 60.

Now we can find the total number of books by adding the number of mystery books, science fiction books, and biographies together.

Since the ratio of mystery books to science fiction books is 4:3, we can determine the number of mystery books by multiplying the number of science fiction books by 4/3:

M = (4/3) * 48 = 64.

So, the total number of books is 48 + 64 + 60 = 172. Voilà!

Answer 3

To find the total number of books, we need to determine the number of mystery books and biographies.

We are given that the ratio of mystery books to science fiction books is 4:3. Since the number of science fiction books is 48, we can set up the equation:

4/3 = x/48

To solve for x (the number of mystery books), we can cross-multiply:

4 * 48 = 3x
192 = 3x

Dividing both sides by 3, we find:

x = 64

Thus, there are 64 mystery books.

Next, we are given that the ratio of science fiction books to biographies is 4:5. Since the number of science fiction books is 48, we can set up the equation:

4/5 = 48/y

To solve for y (the number of biographies), we can cross-multiply:

4 * y = 48 * 5
4y = 240

Dividing both sides by 4, we find:

y = 60

Thus, there are 60 biographies.

To find the total number of books, we can add up the number of mystery books, science fiction books, and biographies:

Total number of books = Number of mystery books + Number of science fiction books + Number of biographies
= 64 + 48 + 60
= 172

Therefore, the total number of books is 172.

Answer 4

48 / 3 = 16

16 * 4 = 64
48 / 4 = 12
12 * 5 = 60
60 + 64 + 48 = 172

Answer 5

4:3 = 64:48

4:5 = 64:80
equating the 48's you get
64:48:80
Now add them up