SOLUTION: Kathy has 5 liters of 32% acid solution and she also has a large amount of a 26% acid solution. How many liters of the 26% solution can Kathy mix with the 5 liters of 32% solution

Algebra ->  Systems-of-equations -> SOLUTION: Kathy has 5 liters of 32% acid solution and she also has a large amount of a 26% acid solution. How many liters of the 26% solution can Kathy mix with the 5 liters of 32% solution       Log On


   



Question 197810: Kathy has 5 liters of 32% acid solution and she also has a large amount of a 26% acid solution. How many liters of the 26% solution can Kathy mix with the 5 liters of 32% solution in order to produce a 50% acid solution? I know that there is no solution due to the fact that combining solutions of 26% and 32% will never create a solution of greater concentration then 32% however I need to know how to set up the system of equations to solve this problem regardless of the outcome. What are the two equations?

Answer by stanbon(75887) About Me  (Show Source):
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Kathy has 5 litres of 32% acid solution and she also has a large amount of a 26% acid solution. How many liters of the 26% solution can Kathy mix with the 5 liters of 32% solution in order to produce a 50% acid solution? I know that there is no solution due to the fact that combining solutions of 26% and 32% will never create a solution of greater concentration then 32% however I need to know how to set up the system of equations to solve this problem regardless of the outcome. What are the two equations?
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Quantity Equation:
lNumber of litres:
y = x + 5
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Quality Equation:
acid + acid = acid
0.32*5 + 0.26x = 0.50y
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Cheers,
Stan H.