Mixed Practice #5: A Grade 5 math worksheet with word problems covering various real-life scenarios.

Sure! Let’s solve each problem step by step and explain the reasoning clearly.

---

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

---

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

---

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?

⚠️ Important Note: This problem is underdetermined — there are *infinite* possible combinations of length and width for a rectangle with perimeter 60 feet.

The formula for perimeter of a rectangle is:
> P = 2 × (length + width)

So:
> 60 = 2 × (L + W)
> → L + W = 30

Possible pairs (L, W):
- 10 ft and 20 ft
- 15 ft and 15 ft (a square)
- 5 ft and 25 ft
- etc.

✔ Answer: There is no unique answer. Any pair of positive numbers that add up to 30 feet will work. For example, length = 20 ft, width = 10 ft.

*(In Grade 5, sometimes they expect you to pick one reasonable pair — often whole numbers. You could say “length = 20 ft, width = 10 ft” as a sample answer.)*

---

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, calculate total cost:
> 15 books × $11 = $165

Then, calculate total revenue from selling:
> 15 books × $25 = $375

Now, find the difference:
> $375 – $165 = $210

✔ Answer: $210

*(This is her profit.)*

---

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

Now, find 2/5 of $75:
> (2/5) × 75 = (2 × 75) ÷ 5 = 150 ÷ 5 = $30

✔ Answer: $30

---

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

Or, using fractions:
> 26 7/10 = 267/10
> (267/10) × 3 = 801/10 = 80 1/10 inches

✔ Answer: 80.1 inches or 80 1/10 inches

---

## ✔ Final Answers Summary:

1. 4 miles
2. $50.15
3. Length and width can vary — e.g., 20 ft and 10 ft (since L + W = 30 ft)
4. $210
5. $30
6. 80.1 inches (or 80 1/10 inches)

Let me know if you’d like these explained with diagrams or visual aids too!