document.write( "Question 1092257:
\n" ); document.write( "A solution of 81%
\n" ); document.write( "bleach is to be mixed with a solution of 96% bleach to make 135 L of a 87% solution. How many liters of the 81% solution must be used?
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Algebra.Com's Answer #706856 by josmiceli(19441)\"\" \"About 
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Let \"+a+\" = liters of 81% solution needed
\n" ); document.write( "Let \"+b+\" = liters of 96% solution needed
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\n" ); document.write( "(1) \"+a+%2B+b+=+135+\"
\n" ); document.write( "(2) \"+%28+.81a+%2B+.96b+%29+%2F+135+=+.87+\"
\n" ); document.write( "----------------------------------------
\n" ); document.write( "(2) \"+.81a+%2B+.96b+=+117.45+\"
\n" ); document.write( "(2) \"+81a+%2B+96b+=+11745+\"
\n" ); document.write( "(2) \"+27a+%2B+32b+=+3915+\"
\n" ); document.write( "Multiply both sides of (1) by \"+27+\" and
\n" ); document.write( "subtract (1) from (2)
\n" ); document.write( "(2) \"+27a+%2B+32b+=+3915+\"
\n" ); document.write( "(1) \"+-27a+-+27b+-+-3645+\"
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\n" ); document.write( "\"+5b+=+270+\"
\n" ); document.write( "\"+b+=+54+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+a+%2B+54+=+135+\"
\n" ); document.write( "(1) \"+a+=+81+\"
\n" ); document.write( "------------------------
\n" ); document.write( "81 liters of 81% solution are needed
\n" ); document.write( "54 liters of 96% solution are needed
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\n" ); document.write( "check:
\n" ); document.write( "(2) \"+%28+.81a+%2B+.96b+%29+%2F+135+=+.87+\"
\n" ); document.write( "(2) \"+%28+.81%2A81+%2B+.96%2A54+%29+%2F+135+=+.87+\"
\n" ); document.write( "(2) \"+%28+65.61+%2B+51.84+%29+%2F+135+=+.87+\"
\n" ); document.write( "(2) \"+117.45+=+.87%2A135+\"
\n" ); document.write( "(2) \"+117.45+=+117.45+\"
\n" ); document.write( "OK
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