document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=67822>Question 67822</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An orange drink claims that it contains 10% orange juice.  How much pure orange juice would need to be added to 5 quarts of the drink to make a mixture of 40% orange juice.\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #48225 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><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/cgi-bin/show-face.mpl?user=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=48225\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "Let x=amount of pure orange juice that needs to be added\r<BR>\n" );
document.write( "\n" );
document.write( "Now we know that the amount of pure orange juice in the 10% mixture (0.1)(5) plus the amount of pure orange juice added (x) has to equal the amount of pure orange juice in the final mixture (0.4)(5+x).  Our equation to solve:\r<BR>\n" );
document.write( "\n" );
document.write( "(0.1)(5)+x=(0.4)(5+x)  clear parens\r<BR>\n" );
document.write( "\n" );
document.write( "0.5+x=2+0.4x  subtract 0.4x and 0.5 from both sides\r<BR>\n" );
document.write( "\n" );
document.write( "0.5-0.5+x-0.4x=2-0.5+0.4x-0.4x  collect like terms\r<BR>\n" );
document.write( "\n" );
document.write( "0.6x=1.5\r<BR>\n" );
document.write( "\n" );
document.write( "x=2.5 gal-------------------------ans\r<BR>\n" );
document.write( "\n" );
document.write( "ck<BR>\n" );
document.write( "substitute x=2.5 into original equation<BR>\n" );
document.write( "(0.1)(5)+2.5=.4(7.5)<BR>\n" );
document.write( "3=3\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Hope this helps----ptaylor\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );