Let's solve each of the mixed word problems step by step and explain the reasoning.
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1. Ellen had 2,080 Legos, but she lost 17 Legos. How many Legos does she have now?
Solution:
We start with 2,080 Legos and subtract the 17 that were lost.
$$
2,080 - 17 = 2,063
$$
✔ Answer: Ellen has
2,063 Legos now.
---
2. Arthur baked 115 muffins. James baked 12 times as many. How many muffins did James bake?
Solution:
"12 times as many" means we multiply Arthur’s muffins by 12.
$$
115 \times 12 = ?
$$
Break it down:
$$
115 \times 12 = 115 \times (10 + 2) = (115 \times 10) + (115 \times 2) = 1,150 + 230 = 1,380
$$
✔ Answer: James baked
1,380 muffins.
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3. There are 14,240 books in a library. They are arranged on shelves that hold 8 books each. How many shelves are in the library?
Solution:
To find the number of shelves, divide the total number of books by the number of books per shelf.
$$
14,240 \div 8 = ?
$$
Let’s divide:
- 8 goes into 14 once → 1 × 8 = 8 → subtract: 14 - 8 = 6
- Bring down 2 → 62
- 8 into 62 = 7 → 7 × 8 = 56 → 62 - 56 = 6
- Bring down 4 → 64
- 8 into 64 = 8 → 8 × 8 = 64 → remainder 0
- Bring down 0 → 0
So:
$$
14,240 \div 8 = 1,780
$$
✔ Answer: There are
1,780 shelves in the library.
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4. Willy has 1,850 crayons. Lucy has 739 crayons. How many more crayons does Willy have than Lucy?
Solution:
Subtract Lucy’s crayons from Willy’s:
$$
1,850 - 739 = ?
$$
Break it down:
$$
1,850 - 700 = 1,150 \\
1,150 - 39 = 1,111
$$
Or directly:
$$
1,850 - 739 = 1,111
$$
✔ Answer: Willy has
1,111 more crayons than Lucy.
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5. Brad has 10,000 balloons. 626 of them are red and the rest are green. How many green balloons does Brad have?
Solution:
Total balloons = 10,000
Red balloons = 626
Green balloons = Total - Red
$$
10,000 - 626 = 9,374
$$
✔ Answer: Brad has
9,374 green balloons.
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✔ Final Answers:
1.
2,063
2.
1,380
3.
1,780
4.
1,111
5.
9,374
These problems involve subtraction, multiplication, and division — all basic arithmetic operations applied to real-life situations. Let me know if you'd like these explained visually or with diagrams!
Parent Tip: Review the logic above to help your child master the concept of mixed word problem worksheet.