SOLUTION: A 30% solution is prepared by mixing a 20% and 45% solution. How many litres of each must be used to produce 60 litres of the 30% solution?
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Question 770077: A 30% solution is prepared by mixing a 20% and 45% solution. How many litres of each must be used to produce 60 litres of the 30% solution? Found 2 solutions by lwsshak3, josmiceli:Answer by lwsshak3(11628) (Show Source):
You can put this solution on YOUR website! A 30% solution is prepared by mixing a 20% and 45% solution. How many litres of each must be used to produce 60 litres of the 30% solution?
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let x=amt of 20% solution to be used
60-x=amt of 45% solution to be used
..
20%x+45%(60-x)=60%*30
0.20x+27-0.45x=18
0.25x=9
x=36
60-x=24
amt of 20% solution to be used=36 litres
amt of 45% solution to be used=24 litres
You can put this solution on YOUR website! Let = liters of 20% solution needed
Let = liters of 45% solution needed = concentrated part of 20% solution = concentrated part of 45% solution
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(1)
(2)
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(2)
(2)
Multiply both sides of (1) by
and subtract (1) from (2)
(2)
)1)
and, since
(1)
(1)
(1)
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36 liters of 20% solution are needed
24 liters of 45% solution are needed
(