https://file.aiquickdraw.com/mathbot/file/1729778577463611ikh9a.jpg

To solve this problem, we need to calculate the percentage reduction in the bear's weight.

### Step 1: Convert both weights to pounds
We are given that there are 14 pounds in a stone.

**Initial weight:**
- 12 stone 12 pounds
- Convert to pounds:
\[
(12 \, \text{stone} \times 14 \, \text{pounds/stone}) + 12 \, \text{pounds} = 168 \, \text{pounds} + 12 \, \text{pounds} = 180 \, \text{pounds}
\]

**Weight after hibernation:**
- 11 stone 10 pounds
- Convert to pounds:
\[
(11 \, \text{stone} \times 14 \, \text{pounds/stone}) + 10 \, \text{pounds} = 154 \, \text{pounds} + 10 \, \text{pounds} = 164 \, \text{pounds}
\]

### Step 2: Calculate the weight reduction
\[
\text{Weight reduction} = 180 \, \text{pounds} - 164 \, \text{pounds} = 16 \, \text{pounds}
\]

### Step 3: Calculate the percentage reduction
\[
\text{Percentage reduction} = \left( \frac{16 \, \text{pounds}}{180 \, \text{pounds}} \right) \times 100 = 8.8889\%
\]

### Step 4: Round to 1 decimal place
\[
\text{Percentage reduction} = 8.9\%
\]

Thus, the reduction in the bear's weight is **8.9%**.

Would you like further details or have any questions? Here are five questions to deepen your understanding:

1. How can you convert weights between stones and pounds quickly?
2. Why do we express reductions as percentages of the original value?
3. How would the calculation change if the final weight were in kilograms instead of pounds?
4. What is the mathematical significance of rounding to 1 decimal place?
5. How can percentage changes be used in other contexts, like finance or population studies?

**Tip:** When dealing with different units (like stones and pounds), always convert to a common unit before performing calculations.

A bear weighed 12 stone 12 pounds. After months of hibernation it weighed 11 stone 10 pounds. There are 14 pounds in a stone. Calculate the reduction in the bear's weight as a percentage of its initial weight, correct to 1 decimal place.

Learn how to calculate the percentage reduction in a bear's weight after hibernation. This problem involves converting between stones and pounds, subtracting weights, and calculating percentage reduction. Suitable for students in Grades 6-8.

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