Reasoning about quantities and quantitative analyses Two dieters were overheard having the following conversation at a Weight Watchers meeting Dieter A I lost 1 8 of my weight I lost 19 lbs Dieter B I lost 1 6 of my weight and now you weigh 2 pounds less than I do How much weight did Dieter B lose Here are some of the relevant quantities embedded within this scenario Dieter A s weight before the diet Dieter A s weight after the diet Dieter B s weight before the diet Dieter B s weight after the diet The amount of weight lost by Dieter A The amount of weight lost by Dieter B The difference in their weights before the diets The difference in their weights after the diets This scenario can be seen as having a quantitative structure depicted below
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