SOLUTION: Hi, I need help with this word problem it could be elimination or substituiton method Prob: pure acid is added to a 10% acid solution to obtain 54 liters of a 20% acid

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Question 379008: Hi,
I need help with this word problem it could be elimination or substituiton method
Prob: pure acid is added to a 10% acid solution to obtain 54 liters of a 20% acid solution. What amounts of each should be used
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Pure acid is a 100% solution.
Let A be the amount of pure acid.
Let B be the amount of 10% solution.
1.A%2BB=54
.
.
2.100A%2B10B=20%2854%29
10A%2BB=108
Subtract eq. 1 from eq. 2,
10A%2BB-A-B=108-54
9A=54
highlight%28A=6%29liters
Then from eq. 1,
highlight%28B=48%29liters