Word Problems Worksheets | Dynamically Created Word Problems - Free Printable

Let's solve each of these mixed word problems step by step and explain the reasoning behind each solution.

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1) Fred has 45 books. Sally has 27 times more books than Fred. How many books does Sally have?

- Fred has 45 books.
- Sally has 27 times more than Fred → This means:
$$
45 \times 27 = ?
$$

Let’s calculate:
$$
45 \times 27 = (40 + 5) \times 27 = (40 \times 27) + (5 \times 27) = 1080 + 135 = 1215
$$

✔ Answer: 1215 books

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2) Sally's high school played forty-nine football games this year. She attended ten games. How many football games did Sally miss?

- Total games: 49
- Attended: 10
- Missed: $ 49 - 10 = 39 $

✔ Answer: 39 games

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3) Sara bought 195 crayons that came in packs of 15. There were 3 colors of crayons. How many packs of crayons did Sara buy?

- Each pack has 15 crayons.
- Total crayons: 195
- Number of packs: $ \frac{195}{15} = 13 $

Note: The mention of "3 colors" is extra information — it doesn't affect the number of packs.

✔ Answer: 13 packs

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4) There are one thousand two hundred and ninety students at a school. If each classroom holds thirty students, how many classrooms are needed at the school?

- Total students: 1290
- Students per classroom: 30
- Number of classrooms: $ \frac{1290}{30} = 43 $

✔ Answer: 43 classrooms

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5) A diner served 5 salads during lunch and 6 during dinner today. It served 7 of them yesterday. How many salads were served today?

- Today: 5 (lunch) + 6 (dinner) = 11
- Yesterday's data is irrelevant to today’s total.

✔ Answer: 11 salads

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6) A teacher has one hundred and ninety-six pieces of candy. If there are seven students, eight of whom are boys, if divided evenly, how many pieces of candy will each student get?

Wait — seven students, but says eight of whom are boys → That’s impossible. Probably a typo.

Assuming it meant: There are seven students, and we need to divide 196 candies among them.

So:
$$
\frac{196}{7} = 28
$$

✔ Answer: 28 pieces per student

*(Note: The "eight of whom are boys" part contradicts "seven students", so likely a mistake. We ignore it as inconsistent.)*

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7) Tom picked 8 oranges and Alyssa picked 7 oranges from a tree. Mike picked 9 apples from a tree. How many total oranges were picked?

- Oranges: Tom (8) + Alyssa (7) = 15
- Apples are not oranges → Ignore Mike's apples.

✔ Answer: 15 oranges

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8) Fred picked 27 lemons from the orchard, and gave 10 lemons to Sandy. How many lemons does Fred have now?

- Started with: 27
- Gave away: 10
- Remaining: $ 27 - 10 = 17 $

✔ Answer: 17 lemons

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9) Jessica bought twenty dozen eggs from the grocery store to bake some cakes. She plans to bake the cakes over two days. How many eggs did Jessica buy?

- “Twenty dozen” means:
$ 20 \times 12 = 240 $ eggs

The fact that she bakes over two days is extra info — not needed.

✔ Answer: 240 eggs

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10) Dan had Pokemon cards. He gave some to his friends. He now has seven Pokemon cards left. How many Pokemon cards did he have to start with?

✘ This problem cannot be solved!
We don’t know how many cards Dan gave away. There’s not enough information.

→ Insufficient information. Cannot determine.

But if this is a typo or missing info, perhaps it was meant to say something like “he gave 15 to his friends” — but as written, it’s unsolvable.

✔ Answer: Not enough information

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✔ Final Answers:

| Problem | Answer |
|--------|--------|
| 1 | 1215 |
| 2 | 39 |
| 3 | 13 |
| 4 | 43 |
| 5 | 11 |
| 6 | 28 |
| 7 | 15 |
| 8 | 17 |
| 9 | 240 |
| 10 | Not enough information |

Let me know if you'd like a printable version or explanations formatted differently!