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Chapter 8: Applying Yield Percent Worksheet


The Situation: Suppose you're catering an event for $200$ guests. Each guest will get a $4$-ounce portion of asparagus.

Huge Question: How much asparagus do you need to order from your supplier?





























Huge Answer: Use Yield Percent!

The Yield Percent of asparagus is $56\%$ according to our table.

Also $EPQ=200 \cdot 4=800 \mbox{ oz}$. So, using the yield percent equation we have: $$0.56=\frac{800}{APQ}$$





























The Yield Percent Triangle
$$Y\%=\frac{EPQ}{APQ}\,\,\,\,\,\,\,\,\,\, APQ=\frac{EPQ}{Y\%}\,\,\,\,\,\,\,\,\,EPQ=APQ \cdot Y\%$$





























The Answer to our Burning Question

Using the Percent Triangle we have $$APQ=\frac{EPQ}{Y\%}=\frac{800}{0.56}=1428.27 \mbox{ oz}=89.29 \mbox{ lb}$$





























Another Question: If our supplier sells asparagus only by the whole pound, how much asparagus do we need to buy?





























Example: Calculate $APQ$ from $EPQ$

is making sweet potato soup. needs $5$ gallons of peeled, diced sweet potatoes. One cup of peeled, diced sweet potatoes weighs $6$ ounces and has a yield of $87.5\%.$ How many pounds of sweet potatoes should order?

Step 1: Convert the $EPQ$ from gallons to pounds.

Step 2: Use the Yield Percent Triangle to determine $APQ.$

Step 3: Round up to the most reasonable whole unit.





























Example: Calculate $EPQ$ from $APQ$

You purchase $8$ heads of radicchio. Each radicchio weighs $8$ ounces. How many $1.5$ oz. portions of radicchio can be obtained from the $8$ heads if the yield percent for radicchio is $92\%?$

Step 1: Use the percent triangle to get the $EPQ$ from the $APQ.$

Step 2: Divide the $EPQ$ by the $1.5$-ounce portion size.

Step 3: Round down to the lowest whole number portion.