SOLUTION: pure milk contains 89% of water.How much water has been added to pure milk to form a sample of 22 litre milk containing 90% water.

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Question 1003165: pure milk contains 89% of water.How much water has been added to pure milk to form a sample of 22 litre milk containing 90% water.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = litres of water to be added
+22+-+x+ = litres of pure milk that you started with
+.89%2A%28+22+-+x+%29+ = litres of water in the pure milk
that you started with
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I can say:
+%28+x+%2B+.89%2A%28+22-x+%29+%29+%2F+22+=+.9+
+x+%2B+.89%2A%28+22-x+%29+=+.9%2A22+
+x+%2B+19.58+-+.89x+=+19.8+
+.11x+=+.22+
+x+=+2+
2 litres of water has to be added
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check:
+%28+x+%2B+.89%2A%28+22-x+%29+%29+%2F+22+=+.9+
+%28+2+%2B+.89%2A%28+22-2+%29+%29+%2F+22+=+.9+
+2+%2B+.89%2A20+=+.9%2A22+
+2+%2B+17.8+=+19.8+
+19.8+=+19.8+
OK