SOLUTION: I have a solution mixture of say A and B. The weight is 47kg with a solution strength of 54% of A. How much of B do I need to add in Kg to bring the mixture to a 50% solution?

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Question 819529: I have a solution mixture of say A and B. The weight is 47kg with a solution strength of 54% of A. How much of B do I need to add in Kg to bring the mixture to a 50% solution?
Found 2 solutions by josgarithmetic, josmiceli:
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Let w = mass of solution B to add to the mixture of A & B.

highlight%28%2847%2A54%29%2F%2847%2Bw%29=50%29, simply using solution B to dilute solution A concentration in the mixture.
Solve for w.

NOTE: Mistake is now fixed.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The amount of A in the mixture is
+.54%2A47+=+25.38+ kg
The amount of B is +47+-+25.38+=+21.62+
------------
Let +b+ = the kg of B to be added
+%28+21.62+%2B+b+%29+%2F+47+=+.5+
+21.62+%2B+b+=+.5%2A47+
+b+=+23.5+-+21.62+
+b+=+1.88+
1.88 kg of B needs to be added