26. What is the total number of Encyclopedias in all the libraries tog...
Total number of Encyclopedias in all the libraries together:
To find the total number of Encyclopedias in all the libraries together, we need to add the number of Encyclopedias in each library.
Let's assume the number of Encyclopedias in Library-1 is x.
The number of Encyclopedias in Library-2 is 100 more than Library-1, so it will be (x + 100).
Similarly, the number of Encyclopedias in Library-3 is 100 more than Library-2, so it will be (x + 200).
Adding the number of Encyclopedias in each library:
Total number of Encyclopedias = (x) + (x + 100) + (x + 200)
= 3x + 300
Now, let's find the value of x:
The number of Encyclopedias in Library-1 is 400 less than the total number of Science books, which means:
x = (Total number of Science books) - 400
The total number of Science books in all the libraries together is 1200, so:
x = 1200 - 400
x = 800
Substituting the value of x in the equation for the total number of Encyclopedias:
Total number of Encyclopedias = 3(800) + 300
= 2400 + 300
= 2700
Therefore, the total number of Encyclopedias in all the libraries together is 2700.
Ratio of total number of Science books to Encyclopedias to Story books in all the libraries together:
To find the ratio, we need to divide the total number of Science books, Encyclopedias, and Story books by their respective counts.
Let's assume the total number of Science books is a, Encyclopedias is b, and Story books is c.
The ratio can be written as:
a : b : c
Substituting the values:
a : b : c = 1200 : 2700 : 1800
Simplifying the ratio by dividing all the numbers by their greatest common divisor, which is 300:
a : b : c = 4 : 9 : 6
Therefore, the ratio of the total number of Science books to Encyclopedias to Story books in all the libraries together is 4 : 9 : 6.
The number of Encyclopedias in Library-1 as a percentage of the total number of Encyclopedias:
To find the percentage, we need to divide the number of Encyclopedias in Library-1 by the total number of Encyclopedias and multiply by 100.
Let's assume the number of Encyclopedias in Library-1 is p.
The percentage can be calculated as:
Percentage = (p / Total number of Encyclopedias) * 100
Substituting the values:
Percentage = (p / 2700) * 100
Therefore, the number of Encyclopedias in Library-1 is approximately (p / 2700) * 100 percent of the total number of Encyclopedias.