Questions on Algebra: Systems of Linear Equations answered by real tutors!

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Question 152168: how much cream and milk to the nearest thousandth of a gallon must be mixed together to obtain 50 gallons of cream that contains 12.5% butterfat
facts:
how many gallons of cream containing 25% butterfat and milk containing 3.5% butter fat must be mixed to obtain 50 gall of cream containing 12.5% butterfat?: how much cream and milk to the nearest thousandth of a gallon must be mixed together to obtain 50 gallons of cream that contains 12.5% butterfat
facts:
how many gallons of cream containing 25% butterfat and milk containing 3.5% butter fat must be mixed to obtain 50 gall of cream containing 12.5% butterfat?
Answer by ankor@dixie-net.com(4531) About Me  (Show Source):
You can put this solution on YOUR website!
how much cream and milk to the nearest thousandth of a gallon must be mixed together to obtain 50 gallons of cream that contains 12.5% butterfat
facts:
how many gallons of cream containing 25% butterfat and milk containing 3.5% butter fat must be mixed to obtain 50 gall of cream containing 12.5% butterfat?
:
Let x = amt of 25% butterfat stuff
then
(50-x) = amt of 3.5% stuff
;
Write an equation using decimals for %
.25x + .035(50-x) = .125(50)
:
Multiply what's inside the brackets
.25x + 1.75 - .035x = 6.25
:
.25x - .035x = 6.25 - 1.75
:
.215x = 4.5
x = 4.5/.215
x = 20.930 gal of the 25% stuff
then
50 - 20.930 = 29.070 of the 3.5% stuff
:
:
Check solution on calc:
.25(20.93) + .035(29.07) = .125(50)
5.2325 + 1.017 = 6.25
6.2495 ~ 6.25