Let's solve each of the three word problems step by step.
---
Problem 1:
"All books, except the reference books, are available for loan. How many books are available for loan?"
#### Given:
- Non-fiction books: 3,489
- Fiction books: 8,617
- Reference books: 1,240
Only non-fiction and fiction books can be loaned (reference books cannot).
So, total books available for loan =
Non-fiction + Fiction
= 3,489 + 8,617
=
12,106
✔ Answer: 12,106 books are available for loan.
---
Problem 2:
"Reference books are for use in the library. There are 16 bookshelves for the reference books. After use, they need to be returned to a special collection box for shelving. If 128 reference books are in use and 84 reference books are in the collection box, how many reference books are on the shelf?"
We know:
- Total reference books = 1,240
- Books
in use = 128
- Books
in collection box = 84
The remaining books must be
on the shelves.
So:
Books on shelves = Total reference books − Books in use − Books in collection box
= 1,240 − 128 − 84
= 1,240 − 212
=
1,028
✔ Answer: 1,028 reference books are on the shelf.
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Problem 3:
"Each patron pays an annual fee of $36 to the library. If the library collects $20,304 from the annual fee, how many patrons are there?"
This is a division problem.
Total money collected = $20,304
Fee per patron = $36
Number of patrons = Total collected ÷ Fee per patron
= 20,304 ÷ 36
Let’s divide:
$$
20,304 ÷ 36
$$
Step-by-step:
- 36 × 500 = 18,000
- Subtract: 20,304 − 18,000 = 2,304
- 36 × 60 = 2,160
- Subtract: 2,304 − 2,160 = 144
- 36 × 4 = 144
- Subtract: 144 − 144 = 0
So: 500 + 60 + 4 =
564
✔ Answer: There are 564 patrons.
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✔ Final Answers:
1.
12,106 books are available for loan.
2.
1,028 reference books are on the shelf.
3. There are
564 patrons.
Let me know if you'd like these explained with visual models or steps!
Parent Tip: Review the logic above to help your child master the concept of mixed word problem worksheet.
