document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1207183>Question 1207183</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi<BR>\n" );
document.write( "Mrs Robinson bought some chocolates and lollipops in the ratio of 7 to 4. The price of all the chocolates to the price of all the lollipops was in the ratio of 5 to 2. If each lollipop cost 15c less than each chocolate how many lollipops did she buy.<BR>\n" );
document.write( "Thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #844910 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=844910\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Let x be the cost in cents of each lollipop<BR>\n" );
document.write( "Then x+15 is the cost in cents of each chocolate<br><BR>\n" );
document.write( "Since the chocolates and lollipops were in the ratio 7:4, the ratio of the costs of the chocolates to the cost of the lollipops was <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%287%28x%2B15%29%29%2F%284%28x%29%29 ALIGN=MIDDLE  ALT=\"%287%28x%2B15%29%29%2F%284%28x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<br><BR>\n" );
document.write( "That ratio of costs was 5:2<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%287%28x%2B15%29%29%2F%284%28x%29%29=5%2F2 ALIGN=MIDDLE  ALT=\"%287%28x%2B15%29%29%2F%284%28x%29%29=5%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=14%28x%2B15%29=20%28x%29 ALIGN=MIDDLE  ALT=\"14%28x%2B15%29=20%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=14x%2B210=20x ALIGN=MIDDLE  ALT=\"14x%2B210=20x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6x=210 ALIGN=MIDDLE  ALT=\"6x=210\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=35 ALIGN=MIDDLE  ALT=\"x=35\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "From the given information, we know...<BR>\n" );
document.write( "cost of each lollipop: x = 35 cents<BR>\n" );
document.write( "cost of each chocolate: x+15 = 50 cents<br><BR>\n" );
document.write( "But the question asks us to find the number of lollipops she bought -- and there is no information given that allows us to answer that question.  We only know that the chocolates and lollipops were in the ratio 7:4.  So, for example...<br><BR>\n" );
document.write( "7 chocolates and 4 lollipops<BR>\n" );
document.write( "cost of chocolates 7(50) = 350, cost of lollipops 4(35) = 140, ratio of costs 350:140 = 5:2<br><BR>\n" );
document.write( "35 chocolates and 20 lollipops<BR>\n" );
document.write( "cost of chocolates 35(50) = 1750, cost of lollipops 20(35) = 700, ratio of costs 1750:700 = 5:2<br><BR>\n" );
document.write( "etc....<br><BR>\n" );
document.write( "Another problem (from the same student maybe) for which we can't find the answer....<br><BR>\n" );
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