Originally Posted By Powderfinger:
Starting with a given set of percentages:
Whole milk has 3.5 percent butterfat.
Heavy cream has 36 percent butterfat.
Light cream has 20 percent butterfat.
Half-and-half has 10 percent butterfat.
How much heavy cream added to 1 cup 240 ml whole milk will equal a 10% butterfat mixture?
Light cream?
Half-and-Half?
View Quote
TotFat/TotVol=.1
1cup*.035+Xcup*.36=TotFat
1cup+Xcup=TotVol
(1cup*.035+Xcup*.36)/(1cup+Xcup)=.1
.035cup+.36Xcup=.1cup+.1Xcup
.26Xcup=.065cup
X=.25 cups of Heavy Cream(1/4cup)
——————————
TotFat/TotVol=.1
1cup*.035+Xcup*.20=TotFat
1cup+Xcup=TotVol
(1cup*.035+Xcup*.20)/(1cup+Xcup)=.1
.035cup+.20Xcup=.1cup+.1Xcup
.1Xcup=.065cup
X=.65 cups of Light Cream(about 2/3cup)
——————————
Not possible with Half-Half.——————————
Generic solution:
X1= % concentration
Y1= volume
X2= % concentration
Y2= volume
Xn= % concentration
Yn= volume
(X1*Y1+X2*Y2+…+Xn*Yn)
———————————— = Finished %
(Y1+Y2+…+Yn)