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The chef has 36363636 pounds of strip loin steak. The amount of weight lost from the trim on each pound is 35%35\%, and 75%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?

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Q. The chef has 36363636 pounds of strip loin steak. The amount of weight lost from the trim on each pound is 35%35\%, and 75%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?
  1. Calculate Trim Loss: Calculate the weight lost from trimming each pound of steak.\newlineTrim loss per pound = 35%35\% of 11 pound\newlineTrim loss per pound = 0.350.35 pounds
  2. Total Trim Loss Calculation: Calculate the total weight lost from trimming all the steak.\newlineTotal trim loss = 36363636 pounds ×0.35\times 0.35 pounds/pound\newlineTotal trim loss = 1272.61272.6 pounds
  3. Weight After Trimming: Calculate the weight of the steak after trimming.\newlineWeight after trimming = Original weight - Total trim loss\newlineWeight after trimming = 36363636 pounds - 1272.61272.6 pounds\newlineWeight after trimming = 2363.42363.4 pounds
  4. Calculate Cooking Loss Percentage: Calculate the percentage of weight lost after cooking.\newlineCooking loss percentage = 75%75\% more than the weight after trimming\newlineCooking loss percentage = 100%+75%100\% + 75\%\newlineCooking loss percentage = 175%175\%
  5. Convert to Decimal: Convert the cooking loss percentage to a decimal to use in calculations.\newlineCooking loss decimal = 175%100%\frac{175\%}{100\%}\newlineCooking loss decimal = 1.751.75
  6. Calculate Cooking Weight Loss: Calculate the weight lost from cooking.\newlineCooking weight loss = Weight after trimming×Cooking loss decimal\text{Weight after trimming} \times \text{Cooking loss decimal}\newlineCooking weight loss = 2363.4pounds×1.752363.4 \, \text{pounds} \times 1.75\newlineCooking weight loss = 4135.95pounds4135.95 \, \text{pounds}

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