SOLUTION: How much 2% alcohol must be mixed with 10% alcohol to get 2000ml of 6% alcohol

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Question 460431: How much 2% alcohol must be mixed with 10% alcohol to get 2000ml of 6% alcohol
Found 2 solutions by Tatiana_Stebko, Alan3354:
Answer by Tatiana_Stebko(1539) About Me  (Show Source):
You can put this solution on YOUR website!
Let x ml - 2% alcohol
Let y ml - 10% alcohol
Then x%2By=2000
In x ml 2% solution is 0.02xml of alcohol, in y ml 10% solution is 0.1yml of alcohol, in 2000 ml 6% solution is 0.06%2A2000=120ml of alcohol, so 0.02x%2B0.1y=120
The system of equations
system%28x%2By=2000%2C0.02x%2B0.1y=120%29
system%28y=2000-x%2C0.02x%2B0.1%282000-x%29=120%29
system%28y=2000-x%2C0.02x%2B200-0.1x=120%29
system%28y=2000-x%2C-0.08x=-80%29
system%28y=2000-x%2Cx=%28-80%29%2F%28-0.08%29%29
system%28x=1000%2Cy=2000-1000%29
system%28x=1000%2Cy=1000%29
x=1000 ml - 2% alcohol, y=1000 ml - 10% alcohol
.
Check
system%281000%2B1000=2000%2C0.02%2A1000%2B0.1%2A1000=120%29
system%282000=2000%2C120=120%29

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
6% is the average of 2% and 10%, so it's equal amounts