KIPP:Halifax Halifax College Prep Public Schools Name: Date: Pride of College: 16. A library has 12,500 fiction books and 19,000 nonfiction books. \textbullet Currently, 2/5 of the fiction books are checked out. \textbullet Currently, 2/5 of the nonfiction books are checked out. \textbullet Of the books checked out, 1/10 are due back this week. How many books are due this week? 12500 17.
The Correct Answer and Explanation is:
Correct Answer:
1,250 books are due this week.
Step-by-Step Explanation
We are given a problem involving the total number of fiction and nonfiction books in a library, and we need to find how many of the checked-out books are due back this week.
Let’s break it down:
1. Total Books:
- Fiction books: 12,500
- Nonfiction books: 19,000
2. Books Currently Checked Out:
- 2/5 of fiction books are checked out:
25×12,500=5,000\frac{2}{5} \times 12,500 = 5,00052×12,500=5,000 fiction books checked out - 2/5 of nonfiction books are checked out:
25×19,000=7,600\frac{2}{5} \times 19,000 = 7,60052×19,000=7,600 nonfiction books checked out
3. Total Books Checked Out:
- Fiction: 5,000
- Nonfiction: 7,600
Total checked out = 5,000 + 7,600 = 12,600 books
4. Books Due Back This Week:
- We are told that 1/10 of all checked-out books are due back this week.
110×12,600=1,260\frac{1}{10} \times 12,600 = 1,260101×12,600=1,260
So, 1,260 books are due back this week.
Important Note:
Although the problem text initially lists 12,500 fiction books, it seems there’s a typo or formatting issue in the line that ends with “12500 17.” However, based on the context and given data, the calculation assumes the correct numbers of 12,500 fiction and 19,000 nonfiction books.
Conclusion:
The correct number of books due back this week is 1,260. This is found by:
- Calculating how many books are checked out (2/5 of each category),
- Adding them together,
- Then finding 1/10 of that total to determine how many are due this week.
