SOLUTION: Gabe​ Amodeo, a nuclear​ physicist, needs 60 liters of a 40​% acid solution. He currently has a 30 % solution and a 60 % solution. How many liters of each does he need to m

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Question 1137197: Gabe​ Amodeo, a nuclear​ physicist, needs 60 liters of a 40​% acid solution. He currently has a 30 % solution and a 60 % solution. How many liters of each does he need to make the needed 60 liters of 40​% acid​ solution?
Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
x, the 60% acid
60-x, the 30% acid

60x%2B30%2860-x%29=40%2A60
simplify and solve...

Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


I will assume this is from the same person who submitted the other very similar problem at the same time....

The target 40% is 1/3 of the way from the lower 30% concentration to the higher 60% concentration. That means 1/3 of the mixture must be the higher concentration.

1/3 of 60 liters is 20 liters. So

ANSWER: 20 liters of 60%; 40 liters of 30%