SOLUTION: A chemist has one solution that is 60% chlorinated and another solution that is 40% chlorinated. How much of the first (60%) solution is needed to make a 100 L solution that is 50%
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Question 264461: A chemist has one solution that is 60% chlorinated and another solution that is 40% chlorinated. How much of the first (60%) solution is needed to make a 100 L solution that is 50% chlorinated?
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Let x = the number of liters of the 60% solution. After changing the percentages to their decimal equivalents, we can write:
Simplify and solve for x.
[{{0.6x+40-0.4x = 50}}} Subtract 40 from both sides and combine the x's.
Divide both sides by 0.2
The chemist will need to mix 50 liters of the 60% solution with 40 (100-x) liters of the 40% solution to obtain 100 liters of 50% solution.
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