Converting weights/volumes, calculating yields, Fruit Trifle Homework and Quiz 1
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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