document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=727848>Question 727848</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am so lost can you help me learn how to solve this question:<BR>\n" );
document.write( "How many gallons of a fruit punch containing 20% alcohol should be mixed with 2 gallons of fruit punch containing 15% alcohol to obtain a fruit punch mixture that is 18% alcohol? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #445207 by </B><A HREF=/tutors/aboutme.mpl?userid=fcabanski><B>fcabanski(1391)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=fcabanski><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=445207\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 2 gallons of fruit punch that is 15% alcohol contains .15*2 = .3 gallons of alcohol.<P><BR>\n" );
document.write( "x gallons of fruit punch that is 20% alcohol contains .2x gallons of alcohol.<P><BR>\n" );
document.write( "The 5 of alcohol in the new mixture is the gallons of alcohol, .2x + .3 divided by the total gallons, x+2.<P><BR>\n" );
document.write( "That fraction, (.2x+.3)/(2+x) = .18.<P><BR>\n" );
document.write( "Solve it for x.<P><BR>\n" );
document.write( ".2x + .3 = .36 + .18x<P><BR>\n" );
document.write( ".02x = .06<P><BR>\n" );
document.write( "x = 3 gallons.<BR>\n" );
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