SOLUTION: A gallon of Del Monte white vinegar is labeled 5% acidity. How many fluid ounces of pure acid must be added to get 6% acidity? Could you please help me to answer this?

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Question 640219: A gallon of Del Monte white vinegar is labeled 5% acidity. How many fluid ounces of pure acid must be added to get 6% acidity? Could you please help me to answer this?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = ounces of pure acid needed
A gallon is 128 US fluid ounces
given:
+.05%2A128+=+6.4+ ounces of acid in gallon of vinegar
+%28+6.4+%2B+x+%29+%2F+%28+128+%2B+x+%29+=+.06+
+6.4+%2B+x+=+.06%2A%28+128+%2B+x+%29+
+6.4+%2B+x+=+.96+%2B+.06x+
+x+-+.06x+=+7.68+-+6.4+
+.94x+=+1.28+
+x+=+1.362+
1.362 ounces of pure acid are needed
check:
+%28+6.4+%2B+x+%29+%2F+%28+128+%2B+x+%29+=+.06+
+%28+6.4+%2B+1.362+%29+%2F+%28+128+%2B+1.362+%29+=+.06+
+7.762+%2F+129.362+=+.06+
+7.762+=+.06%2A129.362+
+7.762+=+7.762+
OK
If you don't use US fluid ounces, just change
that gallons to ounces conversion