SOLUTION: Joyce has 42 liters of 40% saline solution in a container and plans to add a certain amount of a 10% solution to weaken the saline concentration to 24%. How many liters of the 10%

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Question 680902: Joyce has 42 liters of 40% saline solution in a container and plans to add a certain amount of a 10% solution to weaken the saline concentration to 24%. How many liters of the 10% solution should she add?
Answer by lwsshak3(11628) About Me  (Show Source):
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Joyce has 42 liters of 40% saline solution in a container and plans to add a certain amount of a 10% solution to weaken the saline concentration to 24%. How many liters of the 10% solution should she add?
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let x=amt of 10% solution to add
42+x=amt of final 24% solution
..
40%*42+10%x=24%(42+x)
16.8+.1x=10.08+.24x
.14x=6.72
x=6.72/.14
x=48
amt of 10% solution to add=48 liters