A dairy needs 244 gallons of milk containing 7% butterfat. How many gallons each of milk containing 9% butterfat and milk containing 1% butterfat must be used to obtain the desired 244 gallons?
+14903 A dairy needs 244 gallons of milk containing 7% butterfat. How many gallons each of milk containing 9% butterfat (x) and milk containing 1% butterfat must be used to obtain the desired 244 gallons?
Hallo Guest!
\(244\ gal\cdot 7\%=x\cdot9\%+(244\ gal-x)\cdot1\%\)
\(244\ gal\cdot 0.07= 0.09x+244\ gal\cdot 0.01-0.01x\\ 14.64\ gal=0.08x \)
\(x=183\ gal\)
The dairy uses 183gal milk with 9% butterfat
and 61gal milk with 1% butterfat,
to get the 244gal you want.
!
