Question

Marie and Jorge are both trying to lose weight. After 3 months they compared their weight loss. Marie’s weight went from 175 to 150. Jorge’s weight went from 190 to 180. Which statements are true regarding their weight loss? Select three options.
1.Jorge’s weight change was approximately 5%.
2.Marie’s weight change was approximately 14%.
3.Marie had the greater percent change.
4.Jorge had the greater percent change.
5.Marie’s weight change was approximately 1.4%.

Answer 1

To determine the true statements regarding Marie and Jorge’s weight loss, we first calculate the weight change as well as the percentage change for both.

**Marie:**
- Initial weight = 175 lbs
- Final weight = 150 lbs
- Weight loss = 175 - 150 = 25 lbs
- Percentage change = (Weight loss / Initial weight) × 100 = (25 / 175) × 100 ≈ 14.29%

**Jorge:**
- Initial weight = 190 lbs
- Final weight = 180 lbs
- Weight loss = 190 - 180 = 10 lbs
- Percentage change = (Weight loss / Initial weight) × 100 = (10 / 190) × 100 ≈ 5.26%

Now let's evaluate the given statements:

1. **Jorge’s weight change was approximately 5%.**
- This statement is true (approximately 5.26%).

2. **Marie’s weight change was approximately 14%.**
- This statement is true (approximately 14.29%).

3. **Marie had the greater percent change.**
- True. Marie's percent change (approximately 14.29%) is greater than Jorge's (approximately 5.26%).

4. **Jorge had the greater percent change.**
- This statement is false. Marie had the greater percent change.

5. **Marie’s weight change was approximately 1.4%.**
- This statement is false. Marie's weight change was approximately 14.29%.

Based on this analysis, the true statements are:
1. Jorge’s weight change was approximately 5%.
2. Marie’s weight change was approximately 14%.
3. Marie had the greater percent change.