document.write( "Question 56699: You wish to mix wine with 25% alcohol and peach schnapps with 50% alcohol to obtain a different drink. How many liters of wine would you need to make 20 liters of the mixture with a 40% alcohol content? \n" ); document.write( "
Algebra.Com's Answer #38477 by funmath(2933)\"\" \"About 
You can put this solution on YOUR website!
You wish to mix wine with 25% alcohol and peach schnapps with 50% alcohol to obtain a different drink. How many liters of wine would you need to make 20 liters of the mixture with a 40% alcohol content?
\n" ); document.write( "The amount of the mixture is:20 L
\n" ); document.write( "Let the amount of wine be:x
\n" ); document.write( "Then the amount of schnapps is the rest of the mixture: 20-x
\n" ); document.write( ":
\n" ); document.write( "The amount of alcohol in the mixture is: .40(20)
\n" ); document.write( "The amount of alcohol in the wine is: .25x
\n" ); document.write( "The amount of alcohol in the schnapps is: .50(20-x)
\n" ); document.write( ":
\n" ); document.write( "You add the wine and schnapps to get the mixture, so your equation to solve is:
\n" ); document.write( ".25x+.50(20-x)=.40(20)
\n" ); document.write( ".25x+10-.50x=8
\n" ); document.write( "-.25x+10=8
\n" ); document.write( "-.25x+10-10=8-10
\n" ); document.write( "-.25x=-2
\n" ); document.write( "-.25x/-.25=-2/-.25
\n" ); document.write( "x=8
\n" ); document.write( "****(answer)The amount of wine:x=8 L
\n" ); document.write( "(in case you were wondering) The amount of schnapps: 20-x=20-8=12 L
\n" ); document.write( "Happy Calculating, and Don't Drink and Drive!!! \n" ); document.write( "
\n" );