If 45 feet of uniform wire weight 5 kilograms, what is the weight of 30 yards of the same wire?

To determine the weight of 30 yards of the same wire, we need to establish a weight-to-length ratio and apply it to the new length.

### Step-by-Step Solution:

1. **Convert yards to feet**:
   \[
   30 \text{ yards} \times 3 \text{ feet per yard} = 90 \text{ feet}
   \]

2. **Calculate the weight per foot of the wire**:
   Since 45 feet of wire weigh 5 kilograms, the weight per foot is:
   \[
   \frac{5 \text{ kg}}{45 \text{ feet}} = \frac{1}{9} \text{ kg per foot}
   \]

3. **Determine the weight of 90 feet of wire**:
   Now, we multiply the weight per foot by the length in feet:
   \[
   90 \text{ feet} \times \frac{1}{9} \text{ kg per foot} = 10 \text{ kg}
   \]

### Answer:
The weight of 30 yards of the same wire is **10 kilograms**.

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**Related Questions:**

1. What would be the weight of 60 yards of the same wire?
2. How many feet of this wire would weigh 8 kilograms?
3. If 60 feet of wire weighs 7 kilograms, what is the weight of 25 feet?
4. How long would a piece of wire weigh if it weighs exactly 3 kilograms?
5. If 10 meters of the wire weighs 2 kilograms, what would 50 meters weigh?

**Tip:** Always start by converting units to match the initial data given before setting up a proportion.

If 45 feet of uniform wire weigh 5 kilograms, what is the weight of 30 yards of the same wire?

Learn how to calculate the weight of 30 yards of uniform wire when 45 feet of the wire weigh 5 kilograms. This problem involves unit conversion, setting up ratios, and proportional reasoning. Suitable for students in Grades 6-8.

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