document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=214281>Question 214281</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How many quarts of pure orange juice should micheal add to a 10% orange drink create 6 quarts of a 40% orange juice mixture? Let p represent the number of quarts of pure orange juice he should add to the orange drink </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #161899 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=161899\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
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document.write( "Let p=number of qts of pure orange juice needed\r<BR>\n" );
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document.write( "First, we'll solve the problem by dealing with the orange juice and then we'll solve it by dealing with the other ingredients in the drink.\r<BR>\n" );
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document.write( "Now we know that the amount of pure orange juice added(p) plus the amount of pure orange juice in the 10% drink ((0.10(6-p)) has to equal the amount of pure orange juice in the final mixture (0.40)(6).  So our equation to solve is:\r<BR>\n" );
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document.write( "p+0.10*(6-p)=(0.40)*6 get rid of parens and simplify\r<BR>\n" );
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document.write( "p+0.60-0.10p=2.4 subtract 0.60 from each side<BR>\n" );
document.write( "p-0.10p+0.60-0.60=2.4-0.60  collect like terms<BR>\n" );
document.write( "0.90p=1.8<BR>\n" );
document.write( "divide each side by 0.90<BR>\n" );
document.write( "p=2 qts-----------------------number of qts of pure orange juice needed\r<BR>\n" );
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document.write( "Now let's solve the problem by dealing with the other ingredients<BR>\n" );
document.write( "As before, let p=number of qts of pure orange juice needed\r<BR>\n" );
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document.write( "Now we know that the amount of other ingredients in the pure orange juice added(0) plus the amount of other ingredients in the 10% drink ((0.90(6-p)) has to equal the amount of other ingredients in the final mixture (0.60)(6).  So our equation to solve is:<BR>\n" );
document.write( "0.90(6-p)=0.60*60<BR>\n" );
document.write( "5.4-0.90p=3.6  subtract 5.4 from each side<BR>\n" );
document.write( "-0.90p=-5.4+3.6<BR>\n" );
document.write( "-0.90p=-1.8  divide each side by -0.90<BR>\n" );
document.write( "p=2 qts ---same as before\r<BR>\n" );
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document.write( "Hope this helps----ptaylor\r<BR>\n" );
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document.write( " </SPAN>\n" );
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