How two books make up 0.3 of the books in the story library of these 0.2 deal with conference rate and 0.4 deal with electronics interpret why the answer is 0.12 represent in this equation above.
The question states that 0.2 of the books in the story library deal with conference rate and 0.4 deal with electronics.
To find out how many books make up 0.3 of the library, we need to find the common multiple between 0.2 and 0.4. The common multiple of 0.2 and 0.4 is 0.4.
Now, we know that 0.4 represents the total number of books in the library that deal with electronics. Since we want to find out how many books make up 0.3 of the library, we need to find 0.3 times 0.4:
0.3 x 0.4 = 0.12
Therefore, 0.12 represents the number of books that make up 0.3 of the library.
Let's break down the given information and calculate step-by-step:
1. Let's assume the total number of books in the story library is represented by "x".
2. According to the information given, 0.3 of the books in the library are made up of two books, which means "0.3x = 2".
Dividing both sides of the equation by 0.3 gives us "x = 2 / 0.3" or approximately 6.67.
However, since the number of books cannot be a decimal, we'll consider it as approximately 7.
So, there are a total of 7 books in the story library.
3. Now, let's calculate how many books deal with the conference rate.
We are told that 0.2 of the books in the library deal with the conference rate.
Multiplying 0.2 by the total number of books (7) gives us that 1.4 books deal with the conference rate.
Again, since the number of books cannot be a decimal, we'll consider it as 1.
4. Next, let's calculate how many books deal with electronics.
We are told that 0.4 of the books in the library deal with electronics.
Multiplying 0.4 by the total number of books (7) gives us that 2.8 books deal with electronics.
Once again, since the number of books cannot be a decimal, we'll consider it as 3.
5. Finally, we need to calculate 0.12, which represents the number of books that both deal with the conference rate and electronics.
To do this, we multiply the percentage (0.12) by the total number of books (7), giving us 0.12 * 7 = 0.84.
Since we cannot have a fraction of a book, we'll consider it as 1 book.
So, the answer "0.12" in the equation represents the number of books (1 book) that deal with both the conference rate and electronics in the story library.