SOLUTION: How many ounces of pure chocolate must be added to 230 oz of chocolate topping that is 50% chocolate to make a topping that is 75% chocolate?

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Question 921838: How many ounces of pure chocolate must be added to 230 oz of chocolate topping that is 50% chocolate to make a topping that is 75% chocolate?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = oz of pure chocolate to be added
+.5%2A230+=+115+ oz of pure chocolate in 50% chocolate
+%28%28+x+%2B+115+%29%29+%2F+%28%28+x+%2B+230+%29%29+=+.75+
+x+%2B+115+=+.75%2A%28+x+%2B+230+%29+
+x+%2B+115+=+.75x+%2B+172.5+
+.25x+=+57.5+
+x+=+230+
230 oz must be added
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check:
+%28%28+x+%2B+115+%29%29+%2F+%28%28+x+%2B+230+%29%29+=+.75+
+%28%28+230+%2B+115+%29%29+%2F+%28%28+230+%2B+230+%29%29+=+.75+
+345+%2F+460+=+.75+
+345+=+.75%2A460+
+345+=+345+
OK