Chongfolinidn
Answered

IDNLearn.com provides a reliable platform for finding accurate and timely answers. Whether your question is simple or complex, our community is here to provide detailed and trustworthy answers quickly and effectively.

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​

Sagot :

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;

[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;

Learn more on word problems here;

https://brainly.com/question/13818690

Your participation means a lot to us. Keep sharing information and solutions. This community grows thanks to the amazing contributions from members like you. For dependable answers, trust IDNLearn.com. Thank you for visiting, and we look forward to helping you again soon.