Question

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

Answer 1

Answer:

1260 books

Step-by-step explanation:

2/5=0.4

19000*0.4=7600

12500*0.4=5000

7600+5000=12600

1/10=0.1

12600*0.1=1260

Answer 2

A fraction is a way to describe a part of a whole. The number of books that are due back this week is 1,260.

What is a Fraction?

A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.

Given that 2/5 of the fiction books are checked out, and the total number of fiction books is 12,500. Therefore, the number of fiction books that are checked out is

$\text{Number of fiction books that are checked out}= \dfrac25 \times (\text{Number of fiction books})\\\\\text{Number of fiction books that are checked out}= \dfrac25 \times 12,500 = 5,000$

Given that 2/5 of the non-fiction books are checked out, and the total number of non-fiction books is 19,000. Therefore, the number of non-fiction books that are checked out is

$\text{Number of non-fiction books that are checked out} = \dfrac25 \times (\text{Number of non-fiction books})\\\\\text{Number of non-fiction books that are checked out}= \dfrac25 \times 19,000= 7,600$

Now, the total number of books that are due back this week,

$\text{Total number of books that are due back this week} = \dfrac1{10} \times (\text{Total number of checked out books})$

$\text{Total number of books that are due back this week} = \dfrac1{10} \times (5,000+7,600)\\\\\text{Total number of books that are due back this week} = 1,260$

Hence, the number of books that are due back this week is 1,260.

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