Today we apply the concept of percent in the context of food-service situations.
Example: Cost Percentage
Your food sales this month were $\$66300.$ The food cost this month was $\$24398.$ What percentage of sales was the food cost? Round to the nearest tenth.
The Percent Triangle
Using the Percent Triangle
1) Identify the part $p$, the whole $w$, and the percent $\%$.
2) Use the percent triangle to find the quantity that you don't know.
Example: in our Cost Percentage example above, $p=\$24398$, $w=\$66300,$ and the percent is the unknown.
So the formula we used was $\%=\frac{p}{w}$.
Example
You estimate that $7\frac{1}{2}\%$ of your guests at dinner will order the special dessert. If 240 guests are expected, how many special desserts should you prepare?
Example
You are catering a dinner party for 141 guests. Each guest will be served a ramekin of chocolate mousse. If only 110 guests show up, what percent of the mousse will be left over? (If necessary, round to the nearest percent.)
Example
After cleaning a pile of potatoes, you have 35 pounds of clean potatoes. If this represents 85% of the original pile by weight, how many pounds were in the pile to start with?
Bonus Example
You have 80 percent of a bottle of raspberry syrup remaining. If 5 fluid ounces were used, how many fluid ounces did the bottle originally hold? (In necessary, round your answer to the nearest hundredth of a fluid ounce.)