5th Grade Math Word Problems Worksheets | Worsheets library - Free Printable

Let’s solve each problem step by step with clear explanations.

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Problem 1:
> Mrs. Hilt traveled 21,120 feet. How many miles did she travel?

✔ Solution:

We know that:
> 1 mile = 5,280 feet

To find how many miles, divide total feet by feet per mile:

21,120 ÷ 5,280 = 4

✔ Answer: 4 miles

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Problem 2:
> Mrs. Hilt collected 1,003 nickels in a jar. She went to the bank to cash them in. How much money did the bank give Mrs. Hilt?

✔ Solution:

Each nickel is worth $0.05 (5 cents).

So, multiply number of nickels by value per nickel:

1,003 × $0.05 = $50.15

✔ Answer: $50.15

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Problem 3:
> Mrs. Hilt owns a house on a lot shaped like a rectangle. The perimeter of the lot is 60 feet. What is the length and the width of the lot?

✔ Solution:

This problem is underdetermined — we are not given enough information to find *unique* values for length and width.

The formula for perimeter of a rectangle is:

> P = 2 × (length + width)

Given P = 60 feet:

2 × (L + W) = 60

→ L + W = 30

So, any pair of numbers that add up to 30 could be length and width (e.g., 10 ft and 20 ft, 15 ft and 15 ft, 12 ft and 18 ft, etc.).

Since no other info is given (like area or ratio), we can only say:

✔ Answer: Length + Width = 30 feet. There are multiple possible pairs. For example: 10 ft and 20 ft, or 15 ft and 15 ft.

*(Note: If this were a square, it would be 15 ft by 15 ft — but the problem says “rectangle,” which includes squares, so 15x15 is acceptable. But since it doesn’t specify, we should note multiple possibilities.)*

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Problem 4:
> Mrs. Hilt bought 15 books. She paid $11 for each book. She later sold all 15 books for $25 each. What is the difference between the total amount of money Mrs. Hilt sold the books for and the total amount of money she paid for the books?

✔ Solution:

First, find total cost:

15 books × $11 = $165

Then, find total revenue from selling:

15 books × $25 = $375

Now, find the difference (profit):

$375 - $165 = $210

✔ Answer: $210

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Problem 5:
> Mrs. Hilt earned $25 one week for shoveling snow and $50 for the next week. Then, she gave 2/5 of her earnings to her little sister for helping her. How much money did she give to her little sister?

✔ Solution:

First, find total earnings:

$25 + $50 = $75

She gave away 2/5 of this:

2/5 × $75 = (2 × 75) ÷ 5 = 150 ÷ 5 = $30

✔ Answer: $30

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Problem 6:
> Over the weekend, the Philadelphia area received an approximate 26 7/10 inches of snowfall. If a province in Canada received three times as much snowfall, how much would the accumulation in that province be?

✔ Solution:

First, convert mixed number to improper fraction or decimal.

26 7/10 = 26.7 inches

Multiply by 3:

26.7 × 3 = 80.1 inches

Alternatively, using fractions:

26 7/10 = 267/10

Multiply by 3:

(267/10) × 3 = 801/10 = 80 1/10 inches

✔ Answer: 80.1 inches or 80 1/10 inches

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## ✔ Final Answers Summary:

1. 4 miles
2. $50.15
3. Length + Width = 30 feet (multiple possible pairs; e.g., 10 ft & 20 ft)
4. $210
5. $30
6. 80.1 inches (or 80 1/10 inches)

Let me know if you’d like visual diagrams or step-by-step multiplication/division shown!