SOLUTION: A staff member mixed a 35% solution with a 10% solution. How many liters of each will she need to mix in order to obtain 450 liters of a 20% solution?

Question 210202: A staff member mixed a 35% solution with a 10% solution. How many liters of each will she need to mix in order to obtain 450 liters of a 20% solution?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A staff member mixed a 35% solution with a 10% solution. How many liters of each will she need to mix in order to obtain 450 liters of a 20% solution?
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Equation:
0.35x + 0.10(450-x) = 0.20*450
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Multiply thru by 100 to get:
35x + 10(450-x) = 20*450
35x + 10*450 - 10x = 20*450
25x = 10*450
x = 10*18
x = 180 liters (amt. of 35% solution needed in the mixture)
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450-180 = 270 liters (amt. of 10% solution needed in the mixture)
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Cheers,
Stan H.
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