SOLUTION: Please help me solve!!!! Luke has two solutions with strengths of 10% and 20% . Find the amount of the 10% and 20% solution if he mixes to get 20 liters of 18% saline solutio

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Please help me solve!!!! Luke has two solutions with strengths of 10% and 20% . Find the amount of the 10% and 20% solution if he mixes to get 20 liters of 18% saline solutio      Log On


   



Question 446703: Please help me solve!!!!

Luke has two solutions with strengths of 10% and 20% .
Find the amount of the 10% and 20% solution if he mixes to get 20 liters of 18% saline solution?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Find the amount of the 10% and 20% solution if he mixes to get 20 liters of 18% saline solution?
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Assume the active ingredient is "ai"
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Equation:
ai + ai = ai
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0.10x + 0.20(20-x) = 0.18*20
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Multiply by 100:
10x + 20*20-20x = 18*20
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-10x = -2*20
x = 4 liters (amt of 10% solution needed)
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20-x = 16 liters (amt of 20% solution needed)
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Cheers,
Stan H.