document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1201722>Question 1201722</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 15 (a) (i) Red pencils cost 12 cents each.<BR>\n" );
document.write( " What is the greatest number of red pencils you can buy for 360 cents?<BR>\n" );
document.write( "Answer (a)(i) [1]<BR>\n" );
document.write( " (ii) Blue pencils cost x cents each.<BR>\n" );
document.write( " Write down, in terms of x, the greatest number of blue pencils you can buy for 360 cents.<BR>\n" );
document.write( "Answer (a)(ii) [1]<BR>\n" );
document.write( " (iii) Yellow pencils cost (x + 8) cents each.<BR>\n" );
document.write( " Write down, in terms of x, the greatest number of yellow pencils you can buy for 360 cents.<BR>\n" );
document.write( "Answer (a)(iii) [1]<BR>\n" );
document.write( " (b) The number of blue pencils in part (a)(ii) is 16 more than the number of yellow pencils in part<BR>\n" );
document.write( "(a)(iii).<BR>\n" );
document.write( " (i) Write down an equation in x and show that it simplifies to x^2+ 8x − 180 = 0.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #836218 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=836218\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (a) (i) Red pencils cost 12 cents each.<BR>\n" );
document.write( "What is the greatest number of red pencils you can buy for 360 cents?<BR>\n" );
document.write( "12 cents 1 pencil<BR>\n" );
document.write( "360 cents will fetch 360/12 = 30 pencils\r<BR>\n" );
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document.write( "A<BR>\n" );
document.write( "(ii) Blue pencils cost x cents each.<BR>\n" );
document.write( "Write down, in terms of x, the greatest number of blue pencils you can buy for 360 cents. similar to above\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=360%2Fx+ ALIGN=MIDDLE  ALT=\"360%2Fx+\"   DISABLED_style= \"max-width:90%; height:auto;\" > =number of blue pencils\r<BR>\n" );
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document.write( "(iii) Yellow pencils cost (x + 8) cents each.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=360%2F%28x%2B8%29 ALIGN=MIDDLE  ALT=\"360%2F%28x%2B8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = number of yellow pencils \r<BR>\n" );
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document.write( "(b) The number of blue pencils in part  is 16 more than the number of yellow pencils \r<BR>\n" );
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document.write( "The number of blue pencils =360/x<BR>\n" );
document.write( "Number of yellow pencils = 360/(x+8) +16\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=360%2Fx+=+360%2F%28x%2B8%29%2B16 ALIGN=MIDDLE  ALT=\"360%2Fx+=+360%2F%28x%2B8%29%2B16\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "subtract 16 from both sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=360%2Fx+-16+=+%28360%29%2F%28x%2B8%29 ALIGN=MIDDLE  ALT=\"360%2Fx+-16+=+%28360%29%2F%28x%2B8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Multiply by LCM\r<BR>\n" );
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document.write( "360(x+8)-16x(x+8)=360x\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=360x+%2B2880-16x%5E2-112x=360x ALIGN=MIDDLE  ALT=\"360x+%2B2880-16x%5E2-112x=360x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Cancel off 360x\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-16x%5E2%2B2880+-112x+=0 ALIGN=MIDDLE  ALT=\"-16x%5E2%2B2880+-112x+=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "divide by -16\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B8x-180=0 ALIGN=MIDDLE  ALT=\"x%5E2%2B8x-180=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );