SOLUTION: Trude or False Sue went on a weight loss program and lost 15% of her weight, However, she then gained 15% from her lowest weight. In the end yer weight was unchanged.

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Trude or False Sue went on a weight loss program and lost 15% of her weight, However, she then gained 15% from her lowest weight. In the end yer weight was unchanged.      Log On


   



Question 827266: Trude or False Sue went on a weight loss program and lost 15% of her weight, However, she then gained 15% from her lowest weight. In the end yer weight was unchanged.
Answer by sheldonbbtrocks(115) About Me  (Show Source):
You can put this solution on YOUR website!
Let's assume Sue's starting weight was 200 lbs.
If she lost 15% of her weight, then we multiply her original weight by 85% (0.85):
0.85*200lbs=170bs
If she gained 15% of her weight back from 170 lbs, we must multiply by 115%(1.15):
1.15*170lbs= 195.5 lbs.
Since these two different weights are different, the answer is FALSE.