Culinary math ch 5&6
A spa serves iced green tea w/ lemon for $2.50 a glass. What is the menu item cost % for green tea w/ lemon if the as served cost for tea is $.72 & a bag of 15 lemons costs $7.49 w/ each lemon yielding 6 slices?
%=AS/MP >72/2.50= .288+.12=.41 or 41%
What is the as served cost of spinach salad if spinach salad contains $1.30 of spinach $.45 of tomatoes $.70 of bacon & $.64 of dressing?
!.30+.45+.70+.64= $3.09
A restaurant offers a soup & salad special. If the soup has an as served cost of $1.18 per serving, What is the as served cost of the soup & salad special?
$.80+1.18 = $1.98
A pasta sauce recipe calls for 14oz of peeled seeded & diced tomatoes. What is the total cost of the tomatoes if the as-purchased unit cost of whole tomatoes is $1.15 per pound & the yield % is 80%?
$1.25
A mocha ice cream pie recipe uses 1/2 cup plus 1 tbls of fudge. What is the as served cost $40.96 per gallon?
$1.44
A clam chowder recipe has a total ingredient cost of $38.00 & yields 30 servings. What is the menu item cost % of the chowder if it has a menu price of $5.00 a serving?
%=AP/MP 38/30=1.27/5.00=.25 or 25%
A salsa recipe is prepared with 8oz of peeled and pitted mango. What is the total cost of mango used if the as purchased unit cost is $1.82lb & the Y% is 65%
182/.65=2.80/16= .175 or .18
What is the edible portion of 10lbs of broccoli if the yield % for broccoli is 56%?
EP = AP x YP 10 x .56 = 5.6
A salad recipe calls for 10lbs of tomatoes. The yield % for tomatoes is 95%. How many lbs of tomatoes will need to be purchased for the salad? (round to the nearest whole #)
EP = AP x YP 10 x .95 = 9.5 or 10lbs
What is the edible portion of 12lbs of spaghetti squash if the yield % is 70%?
EP = AP x YP 12 x .70 = 8.4lbs
How many sandwiches can be made from 60lbs of AP chuck roast, if chuck roast hap a YP of 80% and each sandwich contains 6oz?
EP = AP x YP 60 x .8 = 48 x 16 = 768 / 6 = 128
What is the EP unit cost per pound of cantaloupe if the as purchased unit cost is .59 per pound and the YP is 56%
EP=AC/YP .59/.56= 1.05
What is the edible portion unit cost per ounce of romaine lettuce if the as purchased unit cost is .85 per pound and the YP is 78%?
EP=AC/YP .85/.78= 1.09/ 16= .068 or 7 cents
What is the edible portion unit cost per pound of garlic if the as purchased unit cost is $2.89 per pound and the YP is 85%?
EP=AC/YP 2.89/.85= 3.40
After cleaning a 30lb case off brussels sprouts, there are 5lbs 6oz of unused parts. What is the yield % of brussels sprouts? (round answer to 2 decimal places)
YP = EP / AP 30 x 16 = 480 16 x 5 = 80 +6 = 86 480 - 86 = 394 / 30 = 13.13 / 16 = .82 or 82%
If 5.5lbs of peelings are generated from peeling 40lbs of potatoes, what is the yield % of the potatoes?
YP = EP / AP 40-5.5= 34.5 / 40 = .86 04 86%
After cleaning, peeling & deveining 5lbs of shrimp, there are 1.5lbs of unused parts. What is the yield % of the shrimp?
YP = EP / AP 5 - 1.5 = 3.5 / 5 - .7 or 70%
During the month of December, a banquet hall spent $36,578 on food & beverages and had a total sales of $109,745. What was the total cost % for the hall?
o%= TC/TS 36578/109745=.333 or 33%
What is the menu item cost % of a glass of lemonade that has an as served cost of $.36 & a menu price of $2.95?
.36/2.95=12%
A soup recipe calls for 8lbs of peeled & diced carrots. What is the total cost of carrots in the recipe if the AP unit cost of the whole carrots is >40 per pound & the YP is 85%?
.40x8=3.20 3.20/.85=3.76
What is the as purchased unit cost per fluid ounce of chicken broth that costs $4.68 per gallon?
1 gall = 128oz 4.68/ 128 = .036 or .04 cents
If a special sauce in a hamburger restaurant is made with a 1:1 ratio by volume of ketchup to mayonnaise, how much mayonnaise is needed to make a 4-quart batch?
1+1=2 2 / 4 = 2
If 20lbs of cauliflower are purchased & the edible portion after trimming is 15lbs, what is the yield % of cauliflower?
YP = EP / AP 15 / 20 = .75 or 75%
If a salad oil blend is made using a 4:1 ratio, by volume, of vegetable oil to olive oil, how much olive oil is required if 3 gallons of vegetable oil are used?
1.7
What is the menu item cost % of a turkey panini that has an as served cost of $1.86 & a menu price of $6.99?
1.86/6.99=.266or 27%
If the BP in a rye bread formula are 60% for bread flour, 40% for rye flour, & 4% for caraway seeds, what amount of caraway seeds are needed in 12lbs of bread flour & 8lbs of rye flour are used? (combine flour weight when different types of flour are used.)
12+8=20 20 x .04 = .8
If 40% of the pieces of cheese on a cheese platter are cheddar & there are 50 pieces of cheddar cheese on the platter, how many total pieces of cheese are on the platter?
125
What is the as purchased unit cost per fluid oz of seltzer water that costs $3.99 for a 12 can case? (each can is 12ox)
12x12=144 3.99/144= .0277 or .03 cents
There are 30 hors d'oeuvres on a serving tray. If 15 of the hors d'oeuvres are stuffed mushrooms, 9 are bruschetta, and 6 are grilled shrimp kabobs, what % are kabobs?
15/30, 9/30, 6/30 1/5 = .20 or 20%
A case of eggs contains 15 dozen eggs. What is the as purchased unit cost per egg if a case of eggs cost $18.00?
15x12=180 18/180= 10cents
What is the as purchased unit cost per ounce of corn if a 5lb box of frozen corn costs $5.92?
16 x 5 = 80 5.92/80= .074 or .08 cents
The cost of food & beverages for one day at a local café was $224.80. The total sales for the day were $851.90. What was the total cost % for the café?
224.80/851.90=.26 or 26%
What is the as purchased unit cost per pound of onions if a 50lb bag of onions costs $28.00?
28/50= .56
Meatballs are prepared with a ratio of 3 parts beef, 2 parts pork & 1 part veal. How many pounds of each meat is required if a total of 18lbs of beef, pork & veal is used to prepare the meatballs?
3+2+1=6 6 / 18 = 3lbs
If a crumb topping is made with a ratio by weight of 3 parts brown sugar, 2 parts flour & 1 part butter, how many lbs of crumb topping can be made with 16oz of butter?
3+2+1=6 x 16=96oz 96 / 16 = 6lbs
If the ratio of brown sugar to granulated sugar in a oatmeal cookie recipe is 3:2 what fraction of the recipe is brown sugar?
3+2=5 3/5
An omelet station uses 3 eggs to make each omelet. What is the cost for the total # of eggs in a single omelet if a case of 30 dozen has an as purchased cost of $32.40?
30x12=360 32.40/360=.27 cents
If a cupcake recipe calls for 4lbs of cake flour & 2.5lbs of sugar, what would be the BP for sugar if the recipe were converted to a formula with cake flour as the main ingredient?
4 / 2.5 = 6.25%
The pricing form for a meal of fish & chips shows a total ingredient cost for fish of $4.90 per serving, chips of .80 per serving and tarter sauce of .38 per serving. If the target cost % is 28% what is the target price for the meal of fish & chips?
4.90+.80+.38=6.08/.28=$21.71
In a ciabatta bread recipe, the BP of water is 72%, salt is 1.5%, & yeast is 1.8%. How much salt is needed if 40lbs of flour are used to prepare the bread?
40 x .015 =.6
At a carving station, 420 people were each served 6.5oz of beef instead of 3.3oz. What is the coat of the extra beef served if the as served cost is $.35 per ounce?
420 x 3.3=1386 420 x 6.5= 2730 2730-1386=1344 x .35= $470.40
What is the as purchased unit cost per fluid oz of tomato juice that costs $12.93 for a 12 can case? (each can is 46 oz)
46x12=552 12.93/552=.023 or 2cents
If a cinnamon-sugar mix is made with a 5:3 ratio of sugar to cinnamon, what % of the mix is sugar?
5+3=8 8 / 5 = .625 or 62 1/2%
What is the menu item cost% of an appetizer that has an as served cost of $5.78 & a menu price of $15.95
5.78/15.95=36%
After trimming 5lbs of carrots, the edible portion is 4.5lbs. What is the amount of unused parts that were generated by trimming the carrots?
5lbs - 4.5lbs = .5lbs
A total of 65lbs of iceberg lettuce heads are purchased for use in a banquet of 120 people. If 6oz of cleaned chopped lettuce is required for each person & the yield percentage is 80%, how much chopped lettuce will be left over?
7
A restaurant has 100 tables & 28 of the tables seat 2 people & 72 of the tables seat 4 people. What % of the tables seat 4?
72 / 100 = .72 = 72%
A whole catfish weighs 8lbs. After cleaning & filleting the fish, the unused parts weigh 3lbs. What is the edible portion of catfish?
8 - 3 = 5lbs
A restaurant paid $17.90 for one gallon of olive oil. What is the cost of the olive oil in a vinaigrette recipe that requires 1 pint of olive oil?
8 pints = 1 gall 17.9 / 8 = 2.237 or $2.24
If a biscuit recipe calls for 8lbs of pastry flour & 6oz of baking powder, what would be the BP for baking powder if the recipe were converted to a formula with pastry flour as the main ingredient?
8 x 16 = 128 6 / 128 = .046 or 4.6%
A bottle of wine has an as purchased cost of $14.00. If the bottle fills 5 glasses, what is the menu item cost % of the wine if the menu price per glass is $8.00?
8.00 X 5=40 14.00/40=.35 or 35%
The total cost of ingredients in a sweet & sour chicken recipe is $80.55 & the recipe makes 60 portions. If the sweet & sour chicken is served with a side of fried rice that has an as served cost of $.75 per serving, what is the total as served cost of the dish?
80.55/60=1.34+.74=2.08
How many lbs of avocados need to be purchased if the edible portion of avocados in a guacamole recipe is 14lbs, & the avocados have a yield % of 70%?
AP = EP / YP 14 / .70 = 20 lbs
A chef needs 4lbs of peeled & sliced apples for an apple crisp dessert. If apples have a yield % of 78%, how many lbs of whole apples are needed? (round to the nearest whole #)
AP = EP / YP 4/.78 = 5.12 or 5lbs
There will be 50lbs of strawberries needed for a catered event and the yield % for strawberries is 95%. How many lbs of strawberries should be ordered for the event? (round to nearest whole #)
AP = EP / YP 50 / 95 = 52.63 or 53%
Each of 50 guests at a banquet will be served an 8oz portion of prime rib. If prime rib has a yield % of 60%, how many lbs of prime rib must be purchased for the banquet? (round to nearest whole #)
AP = EP / YP 50 x 8 = 400 / .60 = 666.66 / 16 = 41.6 or 42
A recipe requires 8lbs of cauliflower florets. If whole cauliflower has a yield % of 68%, how much whole cauliflower must be purchased to make the recipe? (round to the nearest whole #)
AP = EP / YP 8 / 68 = .117 or 12lbs
If the bakers % for raisins in a raisin bread formula is 8% & the bakers % for flour is 100%, what amount of raisins are needed if 14lbs of flour are used?
IW = MW x BP 14 x .08 = 1.12
If the baker's % for milk in a pancake formula is 24% & the BP for flour is 100% what amount of milk is needed if 18lbs of flour is used?
IW = MW x BP 18 x .24 = 4.32
If 35% of the desserts on a buffet are sugar free and there are 80 desserts on the buffet, how many of the desserts are sugar free?
P = W x % 80 x .35 = 28
What is the target price per person for a catered event with an as served cost of $14.00 per person & a target cost% of 32%?
TP=AS/T% 14/.32=43.75
A fine dining restaurant offers lobster bisque with an as served cost of $5.50 per serving, beef tenderloin with AS cost of $17.00 per serving and chocolate mousse with an AS cost of $3.76 per serving. If the restaurant has a target cost % of 29%, what is the target price of this total menu?
TP=AS/T% 17.00+5.50+3.76=26.26/.29=90.55
The as purchased cost of a 24 bottle case of root beer is $22.00. If the root beer is sold by the bottle & has a target cost % of 30% what is the target price for a single bottle?
TP=AS/T% 22/24=.92 .92/.30= $3.07
The pricing form for vegetable lasagna shows total ingredient cost of $29.30, portion total of 12 portions, and a target cost% of 25%. What would be the target price for a serving of the lasagna?
TP=AS/T% 29.30/12= 2.44/.25=9.766 or $9.77
The as served cost of a seafood special is $7.40. If the restaurant uses a target cost % of 32%, what is the target price of the seafood special?
TP=AS/T% 7.40/.32=23.125 or 23.13
At a luncheon, 20% of the guests ordered a vegetarian entrée. If 45 people ordered a vegetarian entrée, what is the total # of guests attending the luncheon?
W = % / P .20 / 45 = 225
