https://file.aiquickdraw.com/mathbot/file/1725767121154e2xgsbcq.jpg

Let's solve this step by step to determine which rope is the better buy.

### Step 1: Convert measurements to the same unit.
We need to compare the cost per unit length for both options. Since one option is in feet and the other is in yards, we will convert them to the same unit. Let's convert yards to feet.

- 1 yard = 3 feet
- So, 3 yards = 3 × 3 = **9 feet**

### Step 2: Calculate the price per foot for both options.
- **For the 23-foot rope:**  
  Price per foot = \$41.40 ÷ 23 = **\$1.80 per foot**

- **For the 9-foot (3-yard) rope:**  
  Price per foot = \$17.46 ÷ 9 = **\$1.94 per foot**

### Step 3: Compare the two prices.
- The 23-foot rope costs **\$1.80 per foot**.
- The 3-yard (9-foot) rope costs **\$1.94 per foot**.

Since **\$1.80 per foot** is cheaper than **\$1.94 per foot**, the **23-foot piece of rope** is the better buy.

Would you like more details or have any further questions?

### Relative questions:
1. How do you calculate unit prices for different measurements?
2. What are the advantages of comparing prices per unit length?
3. How would the result change if both ropes were priced differently?
4. How would you convert between other units, like inches and meters?
5. How does understanding unit conversions help in real-life shopping scenarios?

### Tip:
Always convert measurements to the same unit when comparing prices to ensure an accurate comparison.

Which is the better buy? 23-foot piece of rope for $41.40 or 3-yard piece of rope for $17.46?

Find out which rope is the better buy by comparing the unit prices of a 23-foot rope and a 3-yard rope. This problem involves converting yards to feet and calculating price per foot, perfect for students in Grades 6-8.

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