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You Purchased 28 heads of cauliflower. each head of cauliflower weighs 2 pounds. After cleaning and trimming the cauliflower you are left with 25 pounds 3 ounces of clean cauliflower. What is the yield percent of the cauliflower?

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Answer:

 44.98% ≈ 45%

Step-by-step explanation:

You want the yield percentage when 28 heads of cauliflower weighing 2 lbs each result in 25 lbs 3 oz after cleaning and trimming.

Yield

The yield is the ratio of cleaned cauliflower to the original weight:

  [tex]\text{yield}=\dfrac{25\text{ lb }3\text{ oz}}{28\cdot(2\text{ lb})}=\dfrac{25.1875\text{ lb}}{56\text{ lb}}\approx0.449777\approx\boxed{44.98\%}[/tex]

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Additional comment

There are 16 ounces in a pound, so 3 oz is 3/16 lb. The fraction is converted to a percentage by multiplying it by 100%.

Here, 1 oz represents about 0.11% of the original weight, so we feel there is some justification for maintaining 2 decimal places in the percentage figure. For the purpose of estimating a necessary purchase of cauliflower, it is likely that using a yield factor of 45% would provide sufficient accuracy.

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