document.write( "Question 1032038: A mixture contains alcohol and water in the ratio of 12:5, on adding 14 litres of wate, the ratio of alcohol to water becomes 4:3. The quality of alcohol in the mixture is? \n" ); document.write( "
Algebra.Com's Answer #646741 by josmiceli(19441)\"\" \"About 
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Let \"+a+\" = liters of alcohol in the
\n" ); document.write( "initial mixture
\n" ); document.write( "Let \"+w+\" = liters of water in the
\n" ); document.write( "initial mixture
\n" ); document.write( "-----------------------------
\n" ); document.write( "(1) \"+a%2Fw+=+12%2F5+\"
\n" ); document.write( "(2) \"+a+%2F+%28+w+%2B+14+%29+=+4%2F3+\"
\n" ); document.write( "------------------------
\n" ); document.write( "(1) \"+5a+=+12w+\"
\n" ); document.write( "(1) \"+5a+-+12w++=+0+\"
\n" ); document.write( "and
\n" ); document.write( "(2) \"+3a+=+4%2A%28+w+%2B+14+%29+\"
\n" ); document.write( "(2) \"+3a+=+4w+%2B+56+\"
\n" ); document.write( "(2) \"+3a+-+4w+=+56+\"
\n" ); document.write( "(2) \"+9a+-+12w+=+168+\"
\n" ); document.write( "---------------------
\n" ); document.write( "Subtract (1) from (2)
\n" ); document.write( "(2) \"+9a+-+12w+=+168+\"
\n" ); document.write( "(1) \"+-5a+%2B+12w++=+0+\"
\n" ); document.write( "----------------------
\n" ); document.write( "\"+4a++=+168+\"
\n" ); document.write( "\"+a+=+42+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+5a+=+12w+\"
\n" ); document.write( "(1) \"+w+=+%285%2F12%29%2Aa+\"
\n" ); document.write( "(1) \"+w+=+%285%2F12%29%2A42+\"
\n" ); document.write( "(1) \"+w+=+17.5+\"
\n" ); document.write( "----------------------
\n" ); document.write( "There are 42 liters of alcohol in the mixture
\n" ); document.write( "----------------------
\n" ); document.write( "check:
\n" ); document.write( "(1) \"+a%2Fw+=+12%2F5+\"
\n" ); document.write( "(1) \"+a%2Fw+=+2.4+\"
\n" ); document.write( "(1) \"+42%2F17.5+=+2.4+\"
\n" ); document.write( "(1) \"+2.4+=+2.4+\"
\n" ); document.write( "OK
\n" ); document.write( "(2) \"+a+%2F+%28+w+%2B+14+%29+=+4%2F3+\"
\n" ); document.write( "(2) \"+42+%2F+%28+17.5+%2B+14+%29+=+4%2F3+\"
\n" ); document.write( "(2) \"+42+%2F+31.5+=+4%2F3+\"
\n" ); document.write( "(2) \"+4%2F3+=+4%2F3+\"
\n" ); document.write( "OK
\n" ); document.write( "
\n" );