Wearable physical-activity measurement system for balancing physical-activity energy expenditure and basal metabolic rate to food energy intake by adjusting measured portions of food ingredients

An energy balancing system scales portion sizes of user-selected meal recipes to control a digital scale to prompt the user to measure scaled quantities of meal ingredients to prepare scaled meals. Physical activity tracking devices provide data to generate physical activity energy expenditures for energy burned by physical activity. The physical activity energy is added to a basal metabolic rate of energy expenditure that is a function of sex, weight, height, and age. The total energy expended are scaled down for a weight-loss goal to obtain the total recommended energy. A recipe portion-size optimizer adjusts scaling factors for each recipe so that the total recommended energy is met by the scaled meals. Amounts of nutrients for the recipes can also be scaled by the scaling factors to match recommended nutrient amounts when the meal recipe optimizer generates the scaling factors using an over-determined linear system optimizer.