SOLUTION: how many litres of water must be added to a 100 litre container of orange juice that 20% water to produce a mixture that is 1/3 water

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Question 1005175: how many litres of water must be added to a 100 litre container of orange juice that 20% water to produce a mixture that is 1/3 water
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = liters of water to be added
+.2%2A100+=+20+ liters of water in 100 liters
-------------------
+%28+x+%2B+20+%29+%2F+%28+x+%2B+100+%29+=+1%2F3+
Multiply both sides by +3%2A%28+x+%2B+100+%29+
+3%2A%28+x%2B20+%29+=+x+%2B+100+
+3x+%2B+60+=+x+%2B+100+
+2x+=+40+
+x+=+20+
20 liters of water must be added
-----------------
check:
+%28+x+%2B+20+%29+%2F+%28+x+%2B+100+%29+=+1%2F3+
+%28+20+%2B+20+%29+%2F+%28+20+%2B+100+%29+=+1%2F3+
+40+%2F+120+=+1%2F3+
+1%2F3+=+1%2F3+
OK