A library

A library has 12,500 fiction books and 19,000 nonfiction books. Currently, 2/5 of the fiction books are checked out, and 2/5 of the nonfiction books are checked out. Of the books checked out, only 1/10 are due back this week. How many books are due this week?

Correct answer:

n =  1260

Step-by-step explanation:

$$\begin{gathered} f=12500 \\ v=19000 \\ c=\frac{2}{5}\cdot f+\frac{2}{5}\cdot v=\frac{2}{5}\cdot 12500+\frac{2}{5}\cdot 19000=12600 \\ n=\frac{1}{10}\cdot c=\frac{1}{10}\cdot 12600=\frac{1\cdot 12600}{10}=\frac{12600}{10}=1260 \end{gathered}$$

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