document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1185984>Question 1185984</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A company manufactures both mountain bikes and trail bikes. The cost of materials for a mountain bike is $70, and the cost of materials for a trail bike is $40. The cost of labor to manufacture a mountain bike is $90, and the cost of labor to manufacture a trail bike is $40. During a week in which the company has budgeted $2,750 for materials and $3,250 for labor, how many mountain bikes does the company plan to manufacture? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #816845 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=816845\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A company manufactures both mountain bikes and trail bikes.<BR>\n" );
document.write( "let m = no. of mountain bikes<BR>\n" );
document.write( "let t = no. of trail bikes<BR>\n" );
document.write( ":<BR>\n" );
document.write( " The cost of materials for a mountain bike is $70, and the cost of materials for a trail bike is $40<BR>\n" );
document.write( " The cost of labor to manufacture a mountain bike is $90, and the cost of labor to manufacture a trail bike is $40.<BR>\n" );
document.write( " During a week in which the company has budgeted $2,750 for materials and $3,250 for labor, how many mountain bikes does the company plan to manufacture?<BR>\n" );
document.write( ": <BR>\n" );
document.write( "write the material eq and the labor eq, simplify each<BR>\n" );
document.write( "70m + 40t = 2750<BR>\n" );
document.write( "7m + 4t = 275<BR>\n" );
document.write( "and<BR>\n" );
document.write( "90m + 40t = 3250<BR>\n" );
document.write( "9m + 4t = 325<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Use elimination with these two simplified equations<BR>\n" );
document.write( "9m + 4t = 325<BR>\n" );
document.write( "7m + 4t = 275<BR>\n" );
document.write( "----------------Subtraction eliminates t, find m<BR>\n" );
document.write( "2m + 0 = 50<BR>\n" );
document.write( "m = 50/2<BR>\n" );
document.write( "m = 25 mountain bikes<BR>\n" );
document.write( ":<BR>\n" );
document.write( "find t<BR>\n" );
document.write( "7(25) + 4t = 275<BR>\n" );
document.write( "175 + 4t = 275<BR>\n" );
document.write( "4t = 275 - 175<BR>\n" );
document.write( "4t = 100<BR>\n" );
document.write( "t = 100/4<BR>\n" );
document.write( "t = 25 trail bikes<BR>\n" );
document.write( ";<BR>\n" );
document.write( ":<BR>\n" );
document.write( "See if that checks out using the material eq<BR>\n" );
document.write( "70(25) = 1750<BR>\n" );
document.write( "40(25) = 1000<BR>\n" );
document.write( "------------------ total mat cost<BR>\n" );
document.write( "adds up to 2750<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );