SOLUTION: A container is partially filled with 12 liters of whole milk containing 4% butterfat. How much 1% milk must be added to get a mixture that is 2% butterfat? 11. Simplify

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Question 60645: A container is partially filled with 12 liters of whole milk containing 4% butterfat. How much 1% milk must be added to get a mixture that is 2% butterfat?




11. Simplify

2x-1/5 + x/6+ 8-3x/10

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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A container is partially filled with 12 liters of whole milk containing 4% butterfat. How much 1% milk must be added to get a mixture that is 2% butterfat?
Given 4% amt = 12
:
Let x = 1% amt required
:
2% amt = (x+12)
:
The equation:
.04(12) + .01x = .02(x+12)
:
.48 + .01x = .02x + .24
:
.48 - .24 = .02x - .01x
:
.24 = .01x
:
x = .24/.01
x = 24 liters of 1% required



11. Simplify
2x-1%2F5+%2B+x%2F6%2B+8-3x%2F10
:
Mult equation by the common denominator; 30 will work:
%2830%282x%29+-+6%281%29%2B+5%28x%29%2B+30%288%29+-+3%283x%29%29%2F30 = %2860x+-+6+%2B+5x+%2B+240+-+9x%29%2F30 = %2860x+%2B+5x+-+9x+-+6+%2B++240%29%2F30 = %2856x+%2B+234%29%2F30