Mixed Basic Operations Word Problems Independent Practice ... - Free Printable

Let's solve each of the word problems in the worksheet step by step and explain the solutions clearly.

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1. Josh throws a birthday party in his garden. He needs 260 ice cubes for the party. He arranged the ice tray into two rows in the fridge. Each tray contains 28 ice cubes. How many ice trays does he need?

Step-by-step:
- Each tray has 28 ice cubes.
- He needs 260 ice cubes.
- To find how many trays are needed, divide total cubes by cubes per tray:

$$
\frac{260}{28} = 9.2857...
$$

- Since you can't have a fraction of a tray, round up to the next whole number because even a partial tray must be used.

$$
\text{Answer: } 10 \text{ trays}
$$

✔ Explanation: 9 trays give only $9 \times 28 = 252$ cubes (not enough), so 10 trays are needed.

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2. Henry got $72 from his uncle for his birthday. He purchased a shirt worth $7, a pair of shoes worth $5 and a pair of jeans worth $10. How much money is left?

Step-by-step:
- Total received: $72
- Total spent: $7 (shirt) + $5 (shoes) + $10 (jeans) = $22
- Money left: $72 - $22 = $50

✔ Answer: $50

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3. An export company has 645 customers in China and 514 customers in other countries. Write the total number of customers.

Step-by-step:
- Add both groups:

$$
645 + 514 = 1,159
$$

✔ Answer: 1,159 customers

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4. On Christmas, a shopkeeper needs 800 candies. If each packet contains 20 candies, how many packets he should buy?

Step-by-step:
- Each packet has 20 candies.
- Need 800 candies.
- Number of packets: $ \frac{800}{20} = 40 $

✔ Answer: 40 packets

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5. A shoe company got an order for 5 cartons of shoes. There are 42 pairs of shoes in each carton. How many pairs of shoes did the shoe company make?

Step-by-step:
- 5 cartons × 42 pairs per carton = $5 \times 42 = 210$

✔ Answer: 210 pairs of shoes

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6. Last Saturday, Jenny went to the market. She spent $35 on fruits, $25 on vegetables and $10 on chocolates. After the purchase, she had $250 left. What is the total amount she had before she went to the market?

Step-by-step:
- Total spent: $35 + $25 + $10 = $70
- She had $250 left after spending.
- So, original amount = $250 + $70 = $320

✔ Answer: $320

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7. There are 3,500 books in a college library. 1,635 books are already allotted to the students. How many books are currently available in the library?

Step-by-step:
- Total books: 3,500
- Allotted: 1,635
- Available: $3,500 - 1,635 = 1,865$

✔ Answer: 1,865 books

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8. There are 4,800 apples which are packed in 15 boxes. How many apples are there in each box?

Step-by-step:
- Total apples: 4,800
- Number of boxes: 15
- Apples per box: $ \frac{4,800}{15} = 320 $

✔ Answer: 320 apples per box

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9. James wrote 665 poems in his entire life. 430 poems are very prominent and they also became very famous. How many of his poems were not that popular?

Step-by-step:
- Total poems: 665
- Famous poems: 430
- Not popular: $665 - 430 = 235$

✔ Answer: 235 poems

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10. There are 910 students at St. Xavier’s School. Every year, the school organizes a cultural program on Christmas. During this function, all students sit in 25 rows. How many seats do they need for students in each row?

Step-by-step:
- Total students: 910
- Number of rows: 25
- Seats per row: $ \frac{910}{25} = 36.4 $

But we can't have a fraction of a seat. Since every student needs a seat, and the total is 910, we check:

- $25 \times 36 = 900$ → not enough
- $25 \times 37 = 925$ → more than enough

So, they need 37 seats per row to accommodate all 910 students.

✔ Answer: 37 seats per row

> Note: This assumes that each row must have equal or sufficient seats, and some seats may be empty.

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✔ Final Answers Summary:

| Problem | Answer |
|--------|--------|
| 1 | 10 trays |
| 2 | $50 |
| 3 | 1,159 customers |
| 4 | 40 packets |
| 5 | 210 pairs |
| 6 | $320 |
| 7 | 1,865 books |
| 8 | 320 apples per box |
| 9 | 235 poems |
| 10 | 37 seats per row |

Let me know if you'd like these answers formatted neatly for printing or classroom use!