algebra

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.

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