SOLUTION: How many ounces of pure acid should be added to 35 oz of 40% acid to make 70% acid solution?

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Question 936976: How many ounces of pure acid should be added to 35 oz of 40% acid to make 70% acid solution?
Found 2 solutions by josmiceli, lwsshak3:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = ounces of pure acid to be added
+.4%2A35+=+14+ ounces of pure acid in 40%
solution
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+%28+x+%2B+14+%29+%2F+%28+x+%2B+35+%29+=+.7+
+x+%2B+14+=+.7%2A%28+x+%2B+35+%29+
+x+%2B+14+=+.7x+%2B+24.5+
+.3x+=+10.5+
+x+=+35+
35 ounces of pure acid needs to be added
check:
+%28+x+%2B+14+%29+%2F+%28+x+%2B+35+%29+=+.7+
+%28+35+%2B+14+%29+%2F+%28+35+%2B+35+%29+=+.7+
+49+%2F+70+=+.7+
+49+=+.7%2A70+
+49+=+49+
OK

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
How many ounces of pure acid should be added to 35 oz of 40% acid to make 70% acid solution?
***
let x=amount of pure acid to add
40%*35+100%x=70%(35+x)
14+x=24.5+.70x
.30x=10.5
x=35
amount of pure acid to add=35 ounces