From

__Culinary Math__pg . 37 problem #11

If scoop # relates to # of scoops that are in 32 fl oz , or 1 qt, then explain how you calculate the # of fl oz in a number 12 scoop-

32/12= 2 oz cookie

pg. 39 #23

If you have 1 cp flour and use 4 T, what percent is left in cup?

1 cp=16T

Use 4= 12 T left

12/16= 75%

I have 8 oz parsley in a recipe. Can you use cup measure to measure it?

No- weight vs volume difference

Metric system measure

Kilo gram milligram

1 1000 1,000,000

.000001 .001 1

1 oz= 28.35 g

1 lb= 450 g= .450 kilo

1 kilo= 2/21 lbs

1 L= 1000 ml= 33.8 fl oz

1 qt= 32 fl oz= 948 ml

Liter is larger than quart

Pounds and ounces convert to grams and kilograms

Fluid ounces, tsp, cups, quarts, gallons convert to ml and L

What is heavier 1 oz parsley or 1 g?

1 oz

10 lb sugar= 4.5 kg

¼ t salt= 1.25 ml

1.5 cup olive oil= .355 L

10 oz flour= 383.5 g

2 T milk= 30 ml

8 fl oz= 1 cp

12 fl oz= 1.5 cp

1 T= 15 ml

33.8x= 12

12/33.8= .355 L

Bridge Method

-unit of measurement to be converted

-unit of measurement to be converted to

-conversion factor or equivalences

200 fl oz x 1 cp/ 8 fl oz=

200/8= 25 cp

36 oz to lbs

36 oz x 1 lb/16 oz= 36/16= 2.25 lbs

78 t to cups

78t x 1 cp/ 48 t= 78/48= 1.625 cp

3 t= 1T

1 cp= 16T

1 cp= 48t

128 t is how many cups?

128t x 1 cp/ 48t= 2.66 cp

75 fl oz= .586 gallons

75 fl oz x 1 cp/ 8 fl oz x 1 gallon/ 16 cp= .586 gal

13 lbs x 16oz/ 1 lb= 256 oz

.875 pt x 2 cp/ 1 pt= 1.75 cp

24 t x 1cp/ 48 t= .5 cp

Converting mixed weights

-Converting 2 lbs 12 oz to only lbs

12 oz x 1 lb/ 16oz= .75 lb

2 lb + .75= 2.75 lbs

Convert 26T into cp

26T x 1 cp/ 16T= 1.625 cps

.625 cp= .635 cp x 16T = 10T

3 bunches beets- each weighs 2 lbs 9 oz. How many lbs of beets do you have?

9 oz x 1 lb/16 oz

.5625 lb x 3= 1.6875

2 x 3= 6

6+ 1.6875= 7.6875 lbs beets

.6875 lb x 16 oz/ 1 lb= 11 oz

= 7 lbs 11 oz beets

Converting between weight and Volume measures

Ingred. Vol Fluid oz Ounces

Gound allspice 1T ½ ¼

Info indicates that 1T of allspice weighs approx. .25 oz but is .5 fl oz or 1T

How many T of nutmeg from 30g nutmeg?

1T= .25 oz

30g x 1t/28.35g= 1.058= 1

1 oz x 1T/ .25 oz= 4T

1cp cinnamon

salt

baking powder

mustard seed

1cp x 16T/1cp= 16T/1 x .25 oz= 4 oz

salt

1T= 2/3 oz

1 cp x 16T/1 cp= 16T x 2/3 oz/ 1T= 10 2/3 oz

baking powder

1T= ½ oz

1 cp x 16 T/ 1 cp= 16T x .5 oz/1T= 8 oz

mustard seed

1T= 2/5 oz

1 cp= 16T/1cp=16T/1cp x 2/5 oz/1T= 6.4 oz

Yield

-is proportion of usable portion of the ingredient as compared to the original purchase quantity

-usable as apposed to waste part

-1 lb butter- yield is 1lb as weight of wrapper is negligible

-but yield of strawberries only 87% of original amt

APQ- weight, count, volume

As purchased quantity

EPQ- edible portion quantity

Trim- APQ- EPQ

Not all trim is waste or loss- if can be used in stocks, sauces, etc. it makes more cost effective for kitchen

Yield%= EPQ/ APQ x 100

Factors that affect yield

-yields are approximate guides and will change based on skill of worker

-size of product

-condition of produce

pg 103 #21

4 stalks of rhubarb weigh 1 lb each. Purchase 30 stalks, trim to 6lb 14 oz. What is the yield?

30 stalks x 1 lb/ 4 stalks= 7.5 lbs= APQ

7.5 lbs x 16 oz/ 1 lb= 120 oz= APQ

6lb x 16 oz/1lb + 14 oz= 110 oz= EPQ

110/120= 91.67%= yield %

Applying the yield %

Calculating APQ

Recipe Item Recipe quantity yield%

Bananas, sliced 4lb 7 oz 68%

4.4375 lb

yield%= EPQ/APQ

.68=4.4375/APQ .68x= 4.4375/.68

APQ= 6.5 lbs

Calculate EPQ

4 watermelons weigh 15 lb each. How many 4 oz portions from cleaned melon?

60 lb x 16 ox/1lb= 960 oz= APQ

Y= 46%

.46= EPQ/960 oz= 441.6 oz

441.6oz/ 4 oz= 110.4= 110 servings

Plum cobblers- 125 guests

25 lb plums, how many plums go in each cobbler?

25 lb= APQ

.85 x=EPQ/ 25= 21.25lbs/ 125

.17 lbs x 16 oz/ 1 lb= 2.72 oz per person

Fruit Trifle Homework

Recipe calls for 4 cps or 1.5 lb fruit

1 cp each variety for 12 people

12 people/ 4 cps= 160 people/x= 12x= 160 x 4= 12x=640/12

x= 53 1/3= 54 cups/ 8 fruits= 6.75 cps each fruit

strawberries-

.87= 6.75/APQ= .87APQ=6.75/.87= APQ= 7.75 cps

raspberries-

.97= 6.75/APQ= .97APQ=6.75/.97= APQ=6.959 cps

nectarines-

.86=6.75/APQ=.86APQ=6.75/.86= 7.849 cps

figs-

.82= 6.75/APQ= .82APQ=6.75/.82= 8.232 cps

apricots-

.94=6.75/APQ= 6.75/.94= 7.181 cps

pineapples-

.52=6.75/APQ= 6.75/.52= 12.981 cps

bananas-

.68= 6.85/APQ= 6.75/.68= 9.926 cps

peaches-

.76= 6.75/APQ= 6.75/.75= 8.88 cps

Quiz 1

Find if first item is greater, if second is greater, if they are equal, or if there is not enough info to decide

3 1/3 cp 1 quart

3 1/3 cp x 1 pt/2cp x 1 qt/2 pt= .83 qt= 1 quart is greater

12 fl oz ¾ cp

12 fl oz x 1cp/ 8 fl oz= 1.5 cp= 12 fl oz is greater

32 fl oz 2 lbs

There is not enough info, you can’t convert volume and weight without knowing the specific density

1.33 lbs 600g

1.33lbs x 1 kilo/ 2.21 lbs x 1000g/ 1 kilo= 601.8 g= They are almost the same

You are portioning bread dough. How many full 17 oz portions can be obtained from 15.5 kilo?

15.5 kilo x 2.21lb/ 1 kilo x 16 oz/1lb= 548.08oz/ 17= 32 portions

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