document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1128990>Question 1128990</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An electronics company makes two types of switches. Type A takes 3 minutes to make and requires &#8203;$2 worth of materials. Type B takes 6 minutes to make and requires &#8203;$6 of materials. In the latest production&#8203; batch, it took 36 hours to make these&#8203; switches, and the materials cost &#8203;$1960. How many of each type of switch were&#8203; made? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #745523 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=745523\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> An electronics company makes two types of switches.<BR>\n" );
document.write( " Type A takes 3 minutes to make and requires &#8203;$2 worth of materials.<BR>\n" );
document.write( " Type B takes 6 minutes to make and requires &#8203;$6 of materials.<BR>\n" );
document.write( " In the latest production&#8203; batch, it took 36 hours to make these&#8203; switches,<BR>\n" );
document.write( "and the materials cost &#8203;$1960.<BR>\n" );
document.write( " How many of each type of switch were&#8203; made?<BR>\n" );
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document.write( "let a = no. of A switches<BR>\n" );
document.write( "let b = no. of B<BR>\n" );
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document.write( "Time equation, change 36 hrs of 2160 min<BR>\n" );
document.write( "3a + 6b = 2160<BR>\n" );
document.write( "the cost equation<BR>\n" );
document.write( "2a + 6b = 1960<BR>\n" );
document.write( "Use elimination on these two equations<BR>\n" );
document.write( "3a + 6b = 2160<BR>\n" );
document.write( "2a + 6b = 1960<BR>\n" );
document.write( "-------------------subtraction eliminates b, find a<BR>\n" );
document.write( "a + 0 = 200<BR>\n" );
document.write( "a = 200 A type switches made<BR>\n" );
document.write( "Find b using the 2nd equation<BR>\n" );
document.write( "2(200) + 6b = 1960<BR>\n" );
document.write( "6b = 1960 - 400<BR>\n" );
document.write( "6b = 1560<BR>\n" );
document.write( "b = 1560/6<BR>\n" );
document.write( "b = 260 B type switches made<BR>\n" );
document.write( ":<BR>\n" );
document.write( ";<BR>\n" );
document.write( "Check solutions in the 1st equation<BR>\n" );
document.write( "3(200) + 6(260) = <BR>\n" );
document.write( "600 + 1560 = 2160 </SPAN>\n" );
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