SOLUTION: How many gallons of cream containing 25% butter fat and milk containing 3 1/2% butter fat must be mixed to obtain 50 gallons of cream containing 12 1/2% butter fat. And also how mu
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Question 429453: How many gallons of cream containing 25% butter fat and milk containing 3 1/2% butter fat must be mixed to obtain 50 gallons of cream containing 12 1/2% butter fat. And also how much cream and how much milk to the nearest hundredth of a gallon must b mixed together to obtain 50 gallons of cream that contains 12.5% butterfat?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
How many gallons of cream containing 25% butter fat and milk containing 3 1/2%
butter fat must be mixed to obtain 50 gallons of cream containing 12 1/2% butter fat.
:
And also how much cream and how much milk to the nearest hundredth of a gallon
must b mixed together to obtain 50 gallons of cream that contains 12.5% butterfat?
:
Let x = amt of 25% cream
the total amt is to be 50 gal, therefore:
(50-x) = amt of 3.5% milk
:
.25x + .035(50-x) = .125(50)
.25x + 1.75 - .035x = 6.25
.25x - .035x = 6.25 - 1.75
.215x = 4.5
x =
x = 20.93 gal of 25% cream required
and
50 - 20.93 = 29.07 gal of 3.5% milk required
:
:
Check this in the original equation
.25(20.93) + .035(29.07) = 6.25
5.2325 + 1.0174 = 6.2499 because we rounded off to nearest 100th
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