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Math Help Please

Discussion in 'Professional Chefs' started by frizbee, Jan 11, 2011.

  1. Jan 11, 2011 #1
    frizbee

    frizbee

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    I have a new food item being used and it calls for egg whites to be added at 30% of the total volume.

    The liquid egg bags I have are 5 gal/20# bags. The egg whites are 2#/ 1 qt containers.

    So how much egg white do I add to a whole bag of easy eggs to achieve 30% of the volume? And what would the formula be to figure this out for the future..

    Thanks Chefs! I always appreciate your help!

    Frizbee 
     
  3. Jan 11, 2011 #2
    kuan

    kuan Moderator Staff Member

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    5 gallon x 30/100 = 1.5 gallons or 6 qts.
     
  4. Jan 11, 2011 #3
    frizbee

    frizbee

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    Awesome Kuan! Thanks
     
  5. Jan 11, 2011 #4
    petemccracken

    petemccracken

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    Something seems strange, from the sources I've found, 4 cups (1 quart) of liquid whole eggs weighs about 34.286 ounces or 2 pounds 2 1/4 ounces. Therefore, 5 gallons (20 quarts) would weigh about 42 pounds 13 3/4 ounces, not 20 pounds as you indicate, maybe it is 20 kilograms? The weight of egg whites seems very close.

    Total volume = V
    Volume of liquid eggs = L
    Volume of egg white = W

    If the recipe calls for 30% of the TOTAL VOLUME to be egg whites, then V = L + W and  %W =( W/V)*100 = (W/(L+W))*100 = 30%

    So, dividing both sides by 100 : W/(L+W) = 0.3

    Multiplying both sides by (L+W): W=0.3(L+W) = 0.3L+0.3W

    Subtracting 0.3W from both sides : W-0.3W = 0.3L or  0.7W=0.3L

    Dividing both sides by 0.3: 0.7W/0.3=0.3L/0.3 or 2.3333W=L

    Dividing both sides by 2.3333: W = 0.42857755L

    What the h3ll does this mean? For every 5 gallon (20 quarts) bag of liquid eggs, use 8.57155 quarts (8 quarts, 18.29 ounces) of egg whites or 8 quarts + 2 cups + 2 ounces + 1 teaspoon + 3/4 teaspoon of egg whites.

    8.57155 quarts of egg whites divided by the total volume of 28.57155 quarts = 0.30 = 30%
    I'd probably use 8 1/2 quarts of whites per 5 gallons of liquid eggs.

    I'd certainly check the weight of 5 gallons of liquid eggs before proceeding.
     
  6. Jan 11, 2011 #5
    petemccracken

    petemccracken

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    The OP said it was 30% of the Total volume, not 30% of the volume of liquid eggs.
     
    If it is really 30$ of the liquid egg volume, KUAN is correct.
     
  7. Jan 11, 2011 #6
    cheflayne

    cheflayne

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    The original answer didn't state whether it was to liquid eggs or not, so you could still use the formula either way you desire. Add 1.5 gallon white to 5 gallon liquid egg; or add 1.5 gallon white to 3.5 gallon liquid egg to equal 5 gallon. While the results will be decidedly different, the formula is still correct.

    I am going to go out on a limb here and suggest that the answer to the original question would be 6 bags of whites to 1 bag of liquid egg. My logic on that answer is that the resulting product use is complete with no leftover partials.
     
    Last edited: Jan 11, 2011
  8. Jan 11, 2011 #7
    kuan

    kuan Moderator Staff Member

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    Oh OK.  The other scenario is the liquid eggs represents 70% of the total volume and the eggwhites reprents 30%.  So the ratio is 3:7.

    So 5 gallons divide by 7 and multiply by 3

    In short (5/7)x3=2.14 gallons of eggwhite.

    But I agree with cheflayne.  It seems the easiest.
     
  9. Jan 11, 2011 #8
    petemccracken

    petemccracken

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    Hm, (5/7)*3 = 0.714285*3 = 2.142857 gallons*4 = 8.57142857  /img/vbsmilies/smilies/crazy.gif, pretty close, no?
     
    Last edited: Jan 11, 2011
  11. Jan 12, 2011 #9
    kuan

    kuan Moderator Staff Member

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    Heh yeah  /img/vbsmilies/smilies/lol.gif