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A dairy needs 297 gallons of milk containing 6% butterfat. How many gallons each of milk containing 8% butterfat and milk containing 2% butterfat must be used to obtain the desired 297 gallons?

 Sep 6, 2020
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Let the number of gallon of 8% butterfat needed =M

Then, the number of gallons of 2% butterfat needed =297 - M

 

0.08M  +  0.02 * [297 - M] =0.06 * 297, solve for M

 

M = 198 gallons of 8% butterfat will be needed

297  -  198 =99 gallons of 2% butterfat will be needed.

 Sep 7, 2020

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