document.write( "Question 647639: Solution A has 16% acid. Solution B has 9% acid. How many liters of each should be mix together to get 35 liters than its 12% ACID?\r
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Algebra.Com's Answer #406326 by josmiceli(19441)\"\" \"About 
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Let \"+a+\" = liters of solution A
\n" ); document.write( "Let \"+b+\" = liters of solution B
\n" ); document.write( "\"+.16a+\" = liters of acid in 16% solution
\n" ); document.write( "\"+.09b+\" = liters of acid in 9% solution
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\n" ); document.write( "(1) \"+a+%2B+b+=+35+\"
\n" ); document.write( "(2) \"+%28+.16a+%2B+.09b+%29+%2F+35+=+.12+\"
\n" ); document.write( "------------
\n" ); document.write( "(2) \"+.16a+%2B+.09b+=+.12%2A35+\"
\n" ); document.write( "(2) \"+.16a+%2B+.09b+=+4.2+\"
\n" ); document.write( "(2) \"+16a+%2B+9b+=+420+\"
\n" ); document.write( "Multiply both sides of (1) by \"+9+\"
\n" ); document.write( "and subtract (1) from (2)
\n" ); document.write( "(2) \"+16a+%2B+9b+=+420+\"
\n" ); document.write( "(1) \"+-9a+-+9b+=+315+\"
\n" ); document.write( "\"+7a+=+105+\"
\n" ); document.write( "\"+a+=+15+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+15+%2B+b+=+35+\"
\n" ); document.write( "(1) \"+b+=+20+\"
\n" ); document.write( "15 liters of solution A are needed
\n" ); document.write( "20 liters of solution B are needed
\n" ); document.write( "check:
\n" ); document.write( "(2) \"+%28+.16%2A15+%2B+.09%2A20+%29+%2F+35+=+.12+\"
\n" ); document.write( "(2) \"+%28+2.4+%2B+1.8+%29+%2F+35+=+.12+\"
\n" ); document.write( "(2) \"+4.2+%2F+35+=+.12+\"
\n" ); document.write( "(2) \"+4.2+=+.12%2A35+\"
\n" ); document.write( "(2) \"+4.2+=+4.2+\"
\n" ); document.write( "OK
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