document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=388074>Question 388074</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1.a man sold x similar books for $132. if he had sold (x-1) books but charges $1 more for each book he would have received then same amount of money find the value of X.\r<BR>\n" );
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document.write( "2.adam works part time at a fast food restaurant that pay $x per hour while jenny works as a sales assitant in botique that pays $(X+2) per hour adam work 8 hour more per week than jeeny and they each earn $192a week . find the value of x and the number of hours that adam work in a week. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #274476 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=274476\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1.  The unit price is 132/x.  From the 2nd sentence, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-1%29%28132%2Fx+%2B+1%29+=+132 ALIGN=MIDDLE  ALT=\"%28x-1%29%28132%2Fx+%2B+1%29+=+132\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Solving this equation, we get (x-1)(132 + x) = 132x;<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=132x++%2Bx%5E2+-132+-x+=+132x ALIGN=MIDDLE  ALT=\"132x++%2Bx%5E2+-132+-x+=+132x\"   DISABLED_style= \"max-width:90%; height:auto;\" >;<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+-+x+-+132+=+0 ALIGN=MIDDLE  ALT=\"x%5E2+-+x+-+132+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >;<BR>\n" );
document.write( "(x-12)(x+11) = 0.  Hence x = 12,-11.  Eliminate -11, so the value of x,  or the number of books sold, is 12.\r<BR>\n" );
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document.write( "2.  Let a = # hours Adam works in a week, and <BR>\n" );
document.write( "x = hourly rate of Adam.<BR>\n" );
document.write( "then from the given information,<BR>\n" );
document.write( "ax = 192, and <BR>\n" );
document.write( "(a-8)(x+2)= 192.<BR>\n" );
document.write( "The bottom equation is ax + 2a - 8x-16 = 192;<BR>\n" );
document.write( "substituting ax =192 in to the last equation gives<BR>\n" );
document.write( "192 +2a-8x-16 = 192, or a - 4x- 8 = 0, after simplifying.  Hence a = 4x+8.<BR>\n" );
document.write( "Putting this into ax = 192, we get<BR>\n" );
document.write( "(4x + 8)x = 192, or<BR>\n" );
document.write( "(x+2)x = 48, or<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B2x+-48+=+0 ALIGN=MIDDLE  ALT=\"x%5E2%2B2x+-48+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or<BR>\n" );
document.write( "(x+8)(x-6) =0, which gives x = -8, 6.  Eliminate -8 (why?).<BR>\n" );
document.write( "Therefore x = 6, the hourly rate of Adam, and <BR>\n" );
document.write( "6a  =192 -----> a = 32, the # of hours of work per week for Adam. </SPAN>\n" );
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