document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1201809>Question 1201809</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Gianluca was given €50 for his birthday by his parents.  He decided to buy a number of model aeroplanes at 5 euros each and a number of model cars at €2 each ,getting at least five of each . On model aeroplanes he spent €10 more than on modern cars.  If he wanted to obtain as many models as possible:<BR>\n" );
document.write( "A)	state the 4 inequalities<BR>\n" );
document.write( "b)      draw the graphs of same inequalities to find how he spent his money<BR>\n" );
document.write( "c)      find how much change he received from 50 euros\r<BR>\n" );
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document.write( "So the 4 inequalities : y≥5  ,  x≥5 , 5x+2y≤50 , 5x-2y>=10 <BR>\n" );
document.write( "And when You plot them how do you know how he spent his money ? And how is the change worked out ?How are these questions worked out ?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #852269 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52818)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=852269\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "Gianluca was given €50 for his birthday by his parents. He decided to buy a number of model aeroplanes <BR>\n" );
document.write( "at 5 euros each and a number of model cars at €2 each, getting at least five of each. <BR>\n" );
document.write( "On model aeroplanes he spent €10 more than on modern cars. <BR>\n" );
document.write( "If he wanted to obtain as many models as possible:<BR>\n" );
document.write( "A) state the 4 inequalities<BR>\n" );
document.write( "b) draw the graphs of same inequalities to find how he spent his money<BR>\n" );
document.write( "c) find how much change he received from 50 euros<BR>\n" );
document.write( "So the 4 inequalities : y≥5 , x≥5 , 5x+2y≤50 , 5x-2y>=10<BR>\n" );
document.write( "And when You plot them how do you know how he spent his money ? <BR>\n" );
document.write( "And how is the change worked out ?How are these questions worked out ?<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;This problem in the post is presented as if it is a Linear Programming problem.\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;But in reality, it is a regular fourth grade student arithmetic problem to be solved mentally in several lines.\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Below I will show HOW.\r<BR>\n" );
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document.write( "Gianluca wants to spend 50 euros for buying models of two kinds: aeroplanes and cars.\r\n" );
document.write( "He spends 10 euros more for aeroplane models than for car models.\r\n" );
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document.write( "To a 4-th grade student, it should be clear from this part that Gianluca should spend \r\n" );
document.write( "30 euros for aeroplane models and 20 euros for car models.\r\n" );
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document.write( "Hence, the number of aeroplane models is 30/5 = 6 and the number of car models is 20/2 = 10.\r\n" );
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document.write( "<U>ANSWER</U>.  6 aeroplane models and 10 car models, which is 16, in total.\r\n" );
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document.write( "At this point, the core of the problem is done, and the rest is easy.\r<BR>\n" );
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document.write( "By the way, &nbsp;your inequality &nbsp;&nbsp;5x - 2y >= 10 &nbsp;&nbsp;is &nbsp;INCORRECT.\r<BR>\n" );
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document.write( "The correct expression is this &nbsp;<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28highlight%28equality%29%29 ALIGN=MIDDLE  ALT=\"highlight%28highlight%28equality%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > &nbsp;&nbsp;5x - 2y = 10.\r<BR>\n" );
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document.write( "It is what the problem says, &nbsp;literally.\r<BR>\n" );
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