document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=206054>Question 206054</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0132255707/algebrahomeworkh>Finite Mathematics</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Your company produces two models of bicycles:  Model A and Model B.  Model A takes 2 hours to assemble, where Model B takes 3 hours to assemble.  Model A costs $25 to make per bike where Model B costs $30 to make per bike.  If your company has a total of 34 hours and $350 available per day for these two models, how  many of each model can be made in a day?<BR>\n" );
document.write( "Solve using Elimination Method:<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "120x+180y = 21,600 hours assembling per day<BR>\n" );
document.write( "$25x+$30y = $750 costs<BR>\n" );
document.write( "first equation:<BR>\n" );
document.write( "120x + 180y = 21,600<BR>\n" );
document.write( "second equation<BR>\n" );
document.write( "(-5) 25 + (-5) 30y = (-5) 750<BR>\n" );
document.write( "elimination 245x + 330y = -17,850\r<BR>\n" );
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document.write( "substitute back in to equation<BR>\n" );
document.write( "120x + 180y (  ) = 21,600\r<BR>\n" );
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document.write( "x =   bikes per day\r<BR>\n" );
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document.write( "I need help solving this equation with the steps<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 #155718 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=155718\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Your company produces two models of bicycles: Model A and Model B. <BR>\n" );
document.write( "Model A takes 2 hours to assemble, where Model B takes 3 hours to assemble.<BR>\n" );
document.write( " Model A costs $25 to make per bike where Model B costs $30 to make per bike. <BR>\n" );
document.write( "If your company has a total of 34 hours and $350 available per day for these<BR>\n" );
document.write( " two models, how many of each model can be made in a day?<BR>\n" );
document.write( "Solve using Elimination Method:<BR>\n" );
document.write( ":<BR>\n" );
document.write( "I am not sure what you are doing here, but you are making it way more complicated than it is:<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let a = no. of A bikes<BR>\n" );
document.write( "Let b = no. of B bikes<BR>\n" );
document.write( ":<BR>\n" );
document.write( "2a + 3b = 34; total hrs available<BR>\n" );
document.write( ":<BR>\n" );
document.write( "25a + 30b = 350; total cost available<BR>\n" );
document.write( ";<BR>\n" );
document.write( "Multiply the 1st equation by 10 and subtract from the above equation<BR>\n" );
document.write( "25a + 30b = 350<BR>\n" );
document.write( "20a + 30b = 340<BR>\n" );
document.write( "------------------subtraction eliminates b<BR>\n" );
document.write( "5a = 10<BR>\n" );
document.write( "a = 2 ea A models<BR>\n" );
document.write( ":<BR>\n" );
document.write( "use the time equation to find b<BR>\n" );
document.write( "2(2) + 3b = 34<BR>\n" );
document.write( "4 + 3b = 34<BR>\n" );
document.write( "3b = 34 - 4<BR>\n" );
document.write( "3b = 30<BR>\n" );
document.write( "b = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30%2F3 ALIGN=MIDDLE  ALT=\"30%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "b = 10 ea B models per day<BR>\n" );
document.write( ";<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check solution in the cost equation<BR>\n" );
document.write( "25(2) + 30(10) = $350 confirms our solution </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );