Let's solve each of the mixed word problems step by step and explain the reasoning behind each solution.
---
Problem 1:
Ellen had 2,080 Legos, but she lost 17 Legos. How many Legos does she have now?
Solution:
We need to subtract the number of Legos lost from the original amount.
$$
2,080 - 17 = 2,063
$$
✔ Answer: Ellen has
2,063 Legos now.
---
Problem 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.
---
Problem 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.
$$
14,240 \div 8 = ?
$$
Do the division:
- $ 8 \times 1,780 = 14,240 $
Check:
$$
8 \times 1,780 = (8 \times 1,000) + (8 \times 700) + (8 \times 80) = 8,000 + 5,600 + 640 = 14,240
$$
✔ Answer: There are
1,780 shelves in the library.
---
Problem 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 crayons.
$$
1,850 - 739 = ?
$$
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.
---
Problem 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 minus red balloons gives green balloons.
$$
10,000 - 626 = 9,374
$$
✔ Answer: Brad has
9,374 green balloons.
---
✔ Final Answers Summary:
1.
2,063 Legos
2.
1,380 muffins
3.
1,780 shelves
4.
1,111 more crayons
5.
9,374 green balloons
Let me know if you'd like this formatted for printing or explained in simpler terms!
Parent Tip: Review the logic above to help your child master the concept of addition and subtraction word problems worksheet 4th grade.