SOLUTION: How many kg of salt must be added to a solution containing 5 kg of salt & 35 kg water so that the resulting mixture will be 40% salt?

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Question 879973: How many kg of salt must be added to a solution containing 5 kg of salt & 35 kg water so that the resulting mixture will be 40% salt?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = kg of salt to be added
+%28+x+%2B+5+%29+%2F+%28+x+%2B+5+%2B+35+%29+=+.4+
+x+%2B+5+=+.4%2A%28+x+%2B+40+%29+
+x+%2B+5+=+.4x+%2B+16+
+.6x+=+11+
+x+=+18.333+
18.333 kg of salt must be added
check:
+%28+x+%2B+5+%29+%2F+%28+x+%2B+5+%2B+35+%29+=+.4+
+%28+18.333+%2B+5+%29+%2F+%28+18.333+%2B+5+%2B+35+%29+=+.4+
+23.333+%2F+58.333+=+.4+
+23.333+=+.4%2A58.333+
+23.333+=+23.333+
OK