SOLUTION: Lisa will make punch that is 25% fruit juice by adding pure fruit juice to a 2 liter mixture that is 10& pure fruit juice. How many liters of pure fruit juice does she need to add?

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Question 1031142: Lisa will make punch that is 25% fruit juice by adding pure fruit juice to a 2 liter mixture that is 10& pure fruit juice. How many liters of pure fruit juice does she need to add?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = liters of pure fruit juice to be added
+.1%2A2+=+.2+ liters of pure juice in 10% mixture
--------------------
+%28+x+%2B+.2+%29+%2F+%28+x+%2B+2+%29+=+.25+
+x+%2B+.2+=+.25%2A%28+x+%2B+2+%29+
+x+%2B+.2+=+.25x+%2B+.5+
+.75x+=+.3+
+x+=+.4+
.4 liters of pure fruit juice needs to be added
check:
+%28+x+%2B+.2+%29+%2F+%28+x+%2B+2+%29+=+.25+
+%28+.4+%2B+.2+%29+%2F+%28+.4+%2B+2+%29+=+.25+
+.6+%2F+2.4+=+.25+
+.6+=+.25%2A2.4+
+.6+=+.6+
OK