document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=74264>Question 74264</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0534419232/algebrahomeworkh>intermediate algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> A manufacturer builds racing bikes and mountain bikes, with the per unit manufacturing costs shown in table . The company has bugeted $15,900 for labor and $13,075 for materials .How many bicycles of each type can be built?\r<BR>\n" );
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document.write( "model     cost of materials      cost of labor\r<BR>\n" );
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document.write( "racing           $55                   $60<BR>\n" );
document.write( "mountain         $70                   $90             <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #53382 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=53382\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A manufacturer builds racing bikes and mountain bikes, with the per unit manufacturing costs shown in table . The company has bugeted $15,900 for labor and $13,075 for materials .How many bicycles of each type can be built?\r<BR>\n" );
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document.write( "model     cost of materials      cost of labor\r<BR>\n" );
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document.write( "racing           $55                   $60<BR>\n" );
document.write( "mountain         $70                   $90             <BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "Let r be # of racing bikes and m be # of mountain bikes:<BR>\n" );
document.write( "60r+90m = 15900<BR>\n" );
document.write( "55r+70m = 13075<BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "Rewrite to get smaller numbers:<BR>\n" );
document.write( "2r + 3m = 530<BR>\n" );
document.write( "11r+ 14m =2615<BR>\n" );
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document.write( "Multiply 1st by 11 and 2nd by 2 to get:<BR>\n" );
document.write( "22r + 33m =11*530<BR>\n" );
document.write( "22r + 28m =2*2615<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "Subtract 2nd from 1st to get:<BR>\n" );
document.write( "5m = 600<BR>\n" );
document.write( "m=120 (# of mountain bikes)<BR>\n" );
document.write( "Substitute in 2r+3m = 530 to solve for \"r\":<BR>\n" );
document.write( "2r+3*120 = 530<BR>\n" );
document.write( "2r = 170<BR>\n" );
document.write( "r = 85 (# of racing bikes)<BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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