Question

A number of fiction books at a library was 3/4 of the total number of books. After 592 fiction books were donated to the library, the number of fiction books became 5/6 of the total number of books. How many books were there at th3 library at first?
Please, I become confused when 6ou say assume whatever as (x) or whatver​

Answer 1

There approximately 7133 books in the library;

Data;

• Let the number of total books = x
• Number of fictional books = 3/4x

Word Problem

To solve this problem, we simply need to use an equation to explain the word problem into mathematical statements.

Let the total number of books be represented by x

The number of fictional books = 3/4x

After 592 fictional books were donated;

$\frac{3x}{4} + 592 = \frac{5}{6}x$

Let collect like terms and solve

$\frac{3x}{4} +592 = \frac{5}{6} x\\\frac{5}{6}x - \frac{3x}{4} = 592\\ 0.083x=592\\x = 592/0.083\\x = 7132.53$

There approximately 7133 books in the library;

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