SOLUTION: How many quarts of pure anitifreeze must be added to 4 quarts of a 20% antifreeze solution to obtain a 50% antifreez solution?

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Question 414986: How many quarts of pure anitifreeze must be added to 4 quarts of a 20% antifreeze solution to obtain a 50% antifreez solution?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = quarts of pure antifreeze needed
.2%2A4+=+.8 = pure antifreeze in 20% solution
+%28x+%2B+.8%29+%2F+%28x+%2B+4%29+=+.5
+x+%2B+.8+=+.5%2A%28x+%2B+4%29+
x+%2B+.8+=+.5x+%2B+2
.5x+=+1.2
x+=+2.4
2.4 quarts of pure antifreeze must be added
check:
+%28x+%2B+.8%29+%2F+%28x+%2B+4%29+=+.5
+%282.4+%2B+.8%29+%2F+%282.4+%2B+4%29+=+.5
3.2%2F6.4+=+.5
3.2+=+3.2
OK