SOLUTION: A 400 grams solution made up 40% sugar must be added to a 200 grams solution. what should be the percentage of sugar in 200 grams of solution in order to produce a 38% sugar soluti

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Question 712385: A 400 grams solution made up 40% sugar must be added to a 200 grams solution. what should be the percentage of sugar in 200 grams of solution in order to produce a 38% sugar solution?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = grams of sugar in 200 grams of solution
+.4%2A400+=+160+ grams of sugar in 40% solution
+400+%2B+200+=+600+ total grams of solution
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+%28+160+%2B+x+%29+%2F+600+=+.38+
+160+%2B+x+=+.38%2A600+
+160+%2B+x+=+228+
+x+=+228+-+160+
+x+=+68+
The % sugar in 200 grams of solution is
+%28+68%2F200+%29%2A100+=+34+
34%
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check:
+%28+160+%2B+x+%29+%2F+600+=+.38+
+%28+160+%2B+68+%29+%2F+600+=+.38+
+228%2F600+=+.38+
+228+=+.38%2A600+
+228+=+228+
OK