SOLUTION: can you show me a step by step answer to this word problem? Milk that is 4% butterfat is mixed with milk that is 1% butterfat to obtain 18 gallons of milk that is 2% butteraft.

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Question 569193: can you show me a step by step answer to this word problem?
Milk that is 4% butterfat is mixed with milk that is 1% butterfat to obtain 18 gallons of milk that is 2% butteraft. How many gallons of each type of milk are needed?

i know the answer is 6 gallons of 4% and 12 gallons of 1% but can you please show me the work of how to get this.
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
can you show me a step by step answer to this word problem?
Milk that is 4% butterfat is mixed with milk that is 1% butterfat to obtain 18 gallons of milk that is 2% butteraft. How many gallons of each type of milk are needed?
**
let x=gallons of 4% butterfat milk needed
4%x=amount of butterfat in x gallons of milk
18-x=gallons of 1% butterfat milk needed
1%(18-x)=amount of butterfat in 18-x gallons of milk
2%*18=amount of butterfat in 18 gallons of milk
..
4%x+1%(18-x)=2%18
.04x+.18-.01x=.36
.03x=.18
x=6
18-6=12
ans:
gallons of 4% butterfat milk needed=6
gallons of 1% butterfat milk needed=12