SOLUTION: how many cups of orange juice must be added to 50 cups of punch that is 10% orange juice to obtain a punch that is 20% orange juice?

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Question 799226: how many cups of orange juice must be added to 50 cups of punch that is 10% orange juice to obtain a punch that is 20% orange juice?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = cups of o.j. to be added
+.1%2A50+=+5+ cups of o.j. in 50 cups of punch
-------------------
+%28+x+%2B+5+%29+%2F+%28+x+%2B+50+%29+=+.2+
+x+%2B+5+=+.2%2A%28+x+%2B+50+%29+
+x+%2B+5+=+.2x+%2B+10+
+.8x+=+5+
+x+=+6.25+
6.25 cups of o.j. must be added
check:
+%28+x+%2B+5+%29+%2F+%28+x+%2B+50+%29+=+.2+
+%28+6.25+%2B+5+%29+%2F+%28+6.25+%2B+50+%29+=+.2+
+11.25+%2F+56.25+=+.2+
+11.25+=+.2%2A56.25+
+6.25+=+6.25+
OK