document.write( "Question 193167: a winery wishes to make 10,000 litres of cherry wine by fortifying white wine which has an alcohol content of 10% and with brandy which has an alcohol content of 35% by volume.the cherry is to have an alcohol content of 15%. determine the quantities of white and brandy wine which should be mixed together to produce the desire results. \n" ); document.write( "
Algebra.Com's Answer #145008 by ankor@dixie-net.com(22740)\"\" \"About 
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a winery wishes to make 10,000 litres of cherry wine by fortifying white wine
\n" ); document.write( " which has an alcohol content of 10% and with brandy which has an alcohol content
\n" ); document.write( " of 35% by volume.the cherry is to have an alcohol content of 15%. determine the
\n" ); document.write( " quantities of white and brandy wine which should be mixed together to produce the desire results.
\n" ); document.write( ":
\n" ); document.write( "Let x = amt of brandy wine required
\n" ); document.write( ":
\n" ); document.write( "Total qty is to be 10000 liters, therefore:
\n" ); document.write( "(10000-x) = amt of white wine required
\n" ); document.write( ":
\n" ); document.write( "the amt of alcohol equation:
\n" ); document.write( ".35x + .10(10000-x) = .15(10000)
\n" ); document.write( ":
\n" ); document.write( ".35x + 1000 - .10x = 1500
\n" ); document.write( ":
\n" ); document.write( ".35x - .10x = 1500 - 1000
\n" ); document.write( ":
\n" ); document.write( ".25x = 500
\n" ); document.write( "x = \"500%2F.25\"
\n" ); document.write( "x = 2000 liters of brandy
\n" ); document.write( "and
\n" ); document.write( "10000-2000 = 8000 liters of white wine \n" ); document.write( "
\n" );