The chef has 3636 pounds of strip loin steak. The amount of weight lost from the trim on each pound is 35%, and 75% more of the steak's weight is lost after cooking it. How many pounds of trimmed, cooked strip loin will the chef have left to serve to the customers?
Q. The chef has 3636 pounds of strip loin steak. The amount of weight lost from the trim on each pound is 35%, and 75% more of the steak's weight is lost after cooking it. How many pounds of trimmed, cooked strip loin will the chef have left to serve to the customers?
Calculate Trim Loss: Calculate the weight lost from trimming each pound of steak.Trim loss per pound = 35% of 1 poundTrim loss per pound = 0.35 pounds
Total Trim Loss Calculation: Calculate the total weight lost from trimming all the steak.Total trim loss = 3636 pounds ×0.35 pounds/poundTotal trim loss = 1272.6 pounds
Weight After Trimming: Calculate the weight of the steak after trimming.Weight after trimming = Original weight - Total trim lossWeight after trimming = 3636 pounds - 1272.6 poundsWeight after trimming = 2363.4 pounds
Calculate Cooking Loss Percentage: Calculate the percentage of weight lost after cooking.Cooking loss percentage = 75% more than the weight after trimmingCooking loss percentage = 100%+75%Cooking loss percentage = 175%
Convert to Decimal: Convert the cooking loss percentage to a decimal to use in calculations.Cooking loss decimal = 100%175%Cooking loss decimal = 1.75
Calculate Cooking Weight Loss: Calculate the weight lost from cooking.Cooking weight loss = Weight after trimming×Cooking loss decimalCooking weight loss = 2363.4pounds×1.75Cooking weight loss = 4135.95pounds
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