A person trying to lose weight has lost 13.2% of their old weight. If they used to weigh 296 pounds (lbs), what is their new weight? Round to the nearest tenth.

To find the new weight after losing 13.2% of the old weight, follow these steps:

1. Calculate the amount of weight lost: $\text{Weight lost} = \text{Old weight} \times \left(\frac{\text{Percentage lost}}{100}\right)$ $\text{Weight lost} = 296 \, \text{lbs} \times \left(\frac{13.2}{100}\right)$ $\text{Weight lost} = 296 \, \text{lbs} \times 0.132$ $\text{Weight lost} = 39.072 \, \text{lbs}$

2. Subtract the weight lost from the old weight to find the new weight: $\text{New weight} = \text{Old weight} - \text{Weight lost}$ $\text{New weight} = 296 \, \text{lbs} - 39.072 \, \text{lbs}$ $\text{New weight} = 256.928 \, \text{lbs}$

3. Round the new weight to the nearest tenth: $\text{New weight} \approx 256.9 \, \text{lbs}$

Therefore, the new weight is approximately 256.9 pounds.