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# algebra question

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Whole milk is 4% butterfat.  How much skim milk (no butterfat) should be added to 32 ounes of whole milk to obtain a mixture that is 2.5% butterfat?

Sep 21, 2020

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Whole milk is 4% butterfat. How much skim milk (no butterfat) should be added to 32 ounes of whole milk to obtain a mixture that is 2.5% butterfat?

Hello Guest!

$$32uz\cdot 4\%=(32uz+x)\cdot 2.5\%\\ 32\cdot 0.04uz=0.025\cdot 32uz+0.025x\\ 32\cdot 0.04uz-32\cdot 0.025uz=0.025x\\ x=\frac{32\cdot 0.04uz-32\cdot 0.025uz}{0.025}$$

$$x=19.2uz$$

19.2uz skim milk should be added to 32 ounes of whole milk to obtain a mixture that is 2.5% butterfat.

!

Sep 21, 2020