If a caterer needs 50 three-ounce orders of carrots with a yield of 70%, how many pounds of carrots are required?

To determine the amount of raw carrots needed based on the requirement of 50 three-ounce servings and a yield of 70%, we can break down the calculation step by step.

First, calculate the total weight of the carrots needed in ounces. Since each serving is three ounces, for 50 servings, the total weight required is:

50 servings × 3 ounces/serving = 150 ounces.

Next, convert the total ounces into pounds, knowing there are 16 ounces in a pound:

150 ounces ÷ 16 ounces/pound = 9.375 pounds.

Since the yield of the carrots is only 70%, this means that only 70% of the raw carrots will be usable after preparation. To find the amount of raw carrots needed to achieve the desired cooked weight, divide the required cooked weight by the yield percentage (expressed as a decimal):

Raw carrots needed = 9.375 pounds ÷ 0.70 = approximately 13.39 pounds.

Rounding this value gives us about 14 pounds of raw carrots. Thus, the amount of raw carrots required to provide the needed servings, considering the yield, is 14 pounds. This makes the correct answer align with the choice that states 14 pounds.