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There approximately 7133 books in the library;
Data;
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;
[tex]\frac{3x}{4} + 592 = \frac{5}{6}x[/tex]
Let collect like terms and solve
[tex]\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[/tex]
There approximately 7133 books in the library;
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