SOLUTION: marcia kleinz needs a 20% muriatic acid solution to clean the rust on her pool deck. how many ounces of a 32% muriatic acid solution should marcia mix with 32 ounces of a 17% muria

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Question 899333: marcia kleinz needs a 20% muriatic acid solution to clean the rust on her pool deck. how many ounces of a 32% muriatic acid solution should marcia mix with 32 ounces of a 17% muriatic acid solution to get a solution that is 20% muriatic acid?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = ounces of 32% solution needed
+.32x+ = ounces of acid in 32% solution
+.17%2A32+=+5.44+ ounces of acid in 17% solution
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+%28+.32x+%2B+5.44+%29+%2F+%28+x+%2B+32+%29+=+.2+
+.32x+%2B+5.44+=+.2%2A%28+x+%2B+32+%29+
+.32x+%2B+5.44+=+.2x+%2B+6.4+
+.12x+=+.96+
+x+=+8+
8 ounces of 32% solution are needed
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check:
+%28+.32x+%2B+5.44+%29+%2F+%28+x+%2B+32+%29+=+.2+
+%28+.32%2A8+%2B+5.44+%29+%2F+%28+8+%2B+32+%29+=+.2+
+%28+2.56+%2B+5.44+%29+%2F+40+=+.2+
+8%2F40+=+.2+
+8+=+.2%2A40+
+8+=+8+
OK