Same woman, same scale weight. Jason at Everyday Paleo uses one of his clients to demonstrate that the scale is a virtually meaningless data point. Also note that her BMI would also be the same, and it is the standard used in most studies of obesity and nutrition, as well as by physicians and insurance companies.
You would also do well to note that the muscle layer replacing her fat layer is not only firmer, leaner, and more attractive, it improves insulin sensitivity rather than decreasing it, it maintains a higher metabolic rate for her even at rest, and it doesn't secrete hormones that may increase her likelihood of developing female cancers.
"Faced with the facts above, basing your goals – or even worse, your happiness – on the number on your scale is absolutely ridiculous."