document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1189313>Question 1189313</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Delores mixes two types of orange juice, one fortified and one unfortified, to drink with a meal. The fortified juice contains 250 milligrams of vitamin C per cup, and the unfortified juice contains 150 milligrams of vitamin C per cup. If one cup of Delores's mixture contains 210 milligrams of vitamin C, how much of the fortified orange juice is in one cup of the mixture? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #820643 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=820643\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The objective is to find what fraction of the mixture is the fortified orange juice; then that fraction of one cup is the amount of fortified orange juice in her cup.<br><BR>\n" );
document.write( "A traditional setup for solving the problem might look something like this:<br><BR>\n" );
document.write( "let x = number of cups of fortified orange juice in one cup<BR>\n" );
document.write( "then 1-x = number of cups of unfortified orange juice in one cup<br><BR>\n" );
document.write( "Then x cups of fortified orange juice at 250 mg/cup and (1-x) cups of unfortified orange juice at 150 mg/cup yields 1 cup containing 210 mg:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%28250%29%2B%281-x%29%28150%29=1%28210%29 ALIGN=MIDDLE  ALT=\"x%28250%29%2B%281-x%29%28150%29=1%28210%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "I will leave it to you to find the answer by solving that equation....<br><BR>\n" );
document.write( "An informal solution using logical reasoning is faster and easier.<br><BR>\n" );
document.write( "On a number line, look at the three concentrations of mg/cup of the two ingredients and the mixture -- 150, 210, and 250 -- and observe/calculate that 210 is 60/100 = 3/5 of the way from 150 to 250.<br><BR>\n" );
document.write( "That means 3/5 of the mixture is the fortified orange juice; so her cup of juice contains 3/5 of a cup of the fortified orange juice.<br><BR>\n" );
document.write( "ANSWER: Her cup contains 3/5 of a cup of fortified orange juice<br><BR>\n" );
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