document.write( "Question 842196: a beaker contains 30 oz of an acid solution. A second beaker contains 35 oz of an acid solution, which has a concentration which is twice the concentration of the acid solution in the first beaker. The contents of these 2 beakers are poured into a third beaker. The acid solution in this 3rd beaker has a concentration of 17%. Find the concentrations of the acid solutions in the first 2 containers \n" ); document.write( "
Algebra.Com's Answer #507424 by josmiceli(19441)\"\" \"About 
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Let \"+a+\" = ounces of acid in 30 ounces of solution
\n" ); document.write( "Let \"+b+\" = ounces of acid in 35 ounces of solution
\n" ); document.write( "\"+30+%2B+35+=+65+\" = ounces of solution in 3rd beaker
\n" ); document.write( "---------------------------------------------
\n" ); document.write( "(1) \"+b%2F35+=+2%2A%28+a%2F30+%29+\"
\n" ); document.write( "(2) \"+%28+a+%2B+b+%29+%2F+65+=+.17+\"
\n" ); document.write( "--------------------------
\n" ); document.write( "(1) \"+b%2F35+=+2%2A%28+a%2F30+%29+\"
\n" ); document.write( "(1) \"+b%2F35+=+a%2F15+\"
\n" ); document.write( "Multiply both sides by \"+15%2A35+\"
\n" ); document.write( "(1) \"+15b+=+35a+\"
\n" ); document.write( "(1) \"+b+=+%287%2F3%29%2Aa+\"
\n" ); document.write( "and
\n" ); document.write( "(2) \"+a+%2B+b+=+.17%2A65+\"
\n" ); document.write( "(2) \"+a+%2B+%287%2F3%29%2Aa+=+11.05+\"
\n" ); document.write( "(2) \"+%28+10%2F3+%29%2Aa+=+11.05+\"
\n" ); document.write( "(2) \"+a+=+.3%2A11.05+\"
\n" ); document.write( "(2) \"+a+=+3.315+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+b+=+%287%2F3%29%2Aa+\"
\n" ); document.write( "(1) \"+b+=+%287%2F3%29%2A3.315+\"
\n" ); document.write( "(1) \"+b+=+7.735+\"
\n" ); document.write( "---------------------
\n" ); document.write( "The concentration of the 30 ounce solution is:
\n" ); document.write( "\"+a%2F30+=+3.315%2F30+\"
\n" ); document.write( "\"+a%2F30+=+.1105+\" = 11.05%
\n" ); document.write( "The concentration of the 35 ounce solution is:
\n" ); document.write( "\"+b%2F35+=+7.735%2F35+\"
\n" ); document.write( "\"+b%2F35+=+.221+\" = 22.1%
\n" ); document.write( "---------------------------
\n" ); document.write( "check answers:
\n" ); document.write( "(1) \"+b%2F35+=+2%2A%28+a%2F30+%29+\"
\n" ); document.write( "(1) \"+7.735%2F35+=+2%2A%28+3.315%2F30+%29+\"
\n" ); document.write( "(1) \"+.221+=+.221+\"
\n" ); document.write( "and
\n" ); document.write( "(2) \"+%28+a+%2B+b+%29+%2F+65+=+.17+\"
\n" ); document.write( "(2) \"+%28+3.315+%2B+7.735+%29+%2F+65+=+.17+\"
\n" ); document.write( "(2) \"+.17+=+.17+\"
\n" ); document.write( "OK\r
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