document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=498261>Question 498261</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have a question on this problem.....\r<BR>\n" );
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document.write( " If 300 jellybeans cost you x dollars. How many jellybeans can you purchase for 50 cents at the same rate?\r<BR>\n" );
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document.write( "Greatly appreciated. <BR>\n" );
document.write( "-Paul  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #336992 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=336992\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 300 jelly beans cost you x dollars.<BR>\n" );
document.write( "if you divide 300 by x, you get the number of jelly beans per dollar.<BR>\n" );
document.write( "now you are buying 1/2 a dollar's worth of jelly beans, so you will be getting 1/2 * 300 / x which is equal to 150 / x jelly beans.<BR>\n" );
document.write( "the actual number of jelly beans you get is determined by x.<BR>\n" );
document.write( "if x = 1, the you get 150 jelly beans for 1/2 of a dollar.<BR>\n" );
document.write( "if x = 3, then you get 50 jelly beans for 1/2 of a dollar.\r<BR>\n" );
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document.write( "you can also work this out by determing the cost per jelly bean.<BR>\n" );
document.write( "if you pay x dollars for 300 jelly beans, then the cost per jelly bean is equal to x/300.<BR>\n" );
document.write( "now you want to buy 50 cents worth of jelly beans.<BR>\n" );
document.write( "the number of jelly beans you can buy is the money you pay divided by the cost per jelly bean.<BR>\n" );
document.write( "you pay 50 cents which is equal to 1/2 of a dollar.<BR>\n" );
document.write( "you will get 1/2 / (x/300) which is equal to ((1/2)*300)/x which is equal to 150/x.<BR>\n" );
document.write( "now let's assume x is equal to 1.<BR>\n" );
document.write( "you will get 150/1 = 150 jelly beans.<BR>\n" );
document.write( "now let's assume x is equal to 3.<BR>\n" );
document.write( "you will get 150/3 = 50 jelly beans.\r<BR>\n" );
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document.write( "you derive the same equation either way.<BR>\n" );
document.write( "the equation becomes:<BR>\n" );
document.write( "number of jelly beans = 150/x<BR>\n" );
document.write( "x = cost for 300 jelly beans.<BR>\n" );
document.write( "it's just a matter of how you want to look at it.\r<BR>\n" );
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document.write( "another way to look at it would be to set up a ratio.<BR>\n" );
document.write( "the ratio would be:<BR>\n" );
document.write( "300/x = y/.5<BR>\n" );
document.write( "this ratio says:<BR>\n" );
document.write( "300 jelly beans is to x dollars as y jelly beans is to half a dollar.<BR>\n" );
document.write( "cross multiply to get:<BR>\n" );
document.write( ".5*300 = x*y<BR>\n" );
document.write( "simplify to get:<BR>\n" );
document.write( "150 = x*y<BR>\n" );
document.write( "divide both sides of the equation by x to get:<BR>\n" );
document.write( "y = 150/x<BR>\n" );
document.write( "same equation again.<BR>\n" );
document.write( "x is the cost for 300 jelly beans.<BR>\n" );
document.write( "y is the number of jelly beans you can get for half a dollar.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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