document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=193182>Question 193182</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can someone help me please? Word problems are the worst!<BR>\n" );
document.write( "  A disc jockey plays 12 commercial spots during 1 hr. of radio show. Each commercial is either 30 or 60 sec. long. If the total commercial time in one hr. is 8 min. how many 30 sec. commercials were played that hr.? How many 60 sec.?<BR>\n" );
document.write( "Thanks a lot  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #145019 by </B><A HREF=/tutors/aboutme.mpl?userid=Mathtut><B>Mathtut(3670)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Mathtut><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=145019\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> perhaps this will help......first step is to search what the problem is asking for<BR>\n" );
document.write( "This problem wants to know how many 30 sec and 60 sec commercials there are. Now label the unknowns. Lets call the 30 and 60 sec spots a and b respectively<BR>\n" );
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document.write( "Now try to come up with 2 equations since we have 2 unknowns<BR>\n" );
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document.write( "we are told that there are 12 commercial spots so<BR>\n" );
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document.write( "a+b=12.............eq 1<BR>\n" );
document.write( "we know that the total time for commercials is 8 minutes<BR>\n" );
document.write( "We must make sure both of these are in the same unit....commercials are in seconds so lets convert to minutes before we write the equation..30 sec =1/2 min and 60 sec =1 minute<BR>\n" );
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document.write( "(1/2)a+b=8.......eq 2<BR>\n" );
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document.write( "rewrite eq 1 to a=12-b and plug this into eq 2<BR>\n" );
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document.write( "(1/2)(12-b)+b=8<BR>\n" );
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document.write( "6-(1/2)b+b=8<BR>\n" );
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document.write( "(1/2)b=2<BR>\n" );
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document.write( "b=4 (60 second spots)<BR>\n" );
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document.write( "a=12-b=12-4=8 (30 second spots) </SPAN>\n" );
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