SOLUTION: How many liters of a 40% antifreeze solution must be added to a 4 liter of a 10% antifreeze solution to produce a 35% antifreeze solution?

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Question 834344: How many liters of a 40% antifreeze solution must be added to a 4 liter of a 10% antifreeze solution to produce a 35% antifreeze solution?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = liters of 40% antifreeze needed
+.4x+ = liters of antifreeze in 40% solution
+.1%2A4+=+.4+ liters of antifreeze in 10% solution
---------------------
+%28+.4+%2B+.4x+%29+%2F+%28+x+%2B+4+%29+=+.35+
+.4+%2B+.4x+=+.35%2A%28+x+%2B+4+%29+
+.4+%2B+.4x+=+.35x+%2B+1.4+
+.05x+=+1+
+x+=+20+
20 liters of 40% antifreeze are needed
check:
+%28+.4+%2B+.4x+%29+%2F+%28+x+%2B+4+%29+=+.35+
+%28+.4+%2B+.4%2A20+%29+%2F+%28+20+%2B+4+%29+=+.35+
+8.4+=+.35%2A24+
+8.4+=+8.4+
OK