document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1192915>Question 1192915</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 ​$2 worth of materials. Type B takes 6 minutes to make and requires ​$6 of materials. In the latest production​ batch, it took 36 hours to make these​ switches, and the materials cost ​$1960. How many of each type of switch were​ made?\r<BR>\n" );
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document.write( "There were ___ Type A switches and ____ Type B switches manufactured. </SPAN>\n" );
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document.write( "x = # of type A switches made<BR>\n" );
document.write( "y = # of type B switches made<br><BR>\n" );
document.write( "Each type A switch takes 3 minutes to make; each type B switch takes 6 minutes; the total time was 36 hours = 2160 minutes.<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%2B6y=2160 ALIGN=MIDDLE  ALT=\"3x%2B6y=2160\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B2y=720 ALIGN=MIDDLE  ALT=\"x%2B2y=720\"   DISABLED_style= \"max-width:90%; height:auto;\" > [1]<br><BR>\n" );
document.write( "Each type A switch uses $2 worth of materials; each type B switch uses $6 worth of materials; the total cost of the materials used was $1960.<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B6y=1960 ALIGN=MIDDLE  ALT=\"2x%2B6y=1960\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B3y=980 ALIGN=MIDDLE  ALT=\"x%2B3y=980\"   DISABLED_style= \"max-width:90%; height:auto;\" > [2]<br><BR>\n" );
document.write( "The two equations are in the form that make it clear that solving the pair of equations by elimination is easiest.<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B3y=980 ALIGN=MIDDLE  ALT=\"x%2B3y=980\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B2y=720 ALIGN=MIDDLE  ALT=\"x%2B2y=720\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=260 ALIGN=MIDDLE  ALT=\"y=260\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B2%28260%29=720 ALIGN=MIDDLE  ALT=\"x%2B2%28260%29=720\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B520=720 ALIGN=MIDDLE  ALT=\"x%2B520=720\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=200 ALIGN=MIDDLE  ALT=\"x=200\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "ANSWER: x=200 type A switches; y=260 type B switches<br>\r<BR>\n" );
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document.write( " </SPAN>\n" );
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