document.write( "Question 148366: a disc jockey must play 14 commercial spots during 1 hour of a radio show. Each commercial is either 30 seconds or 60 seconds long. If the total commercial time during 1 hour is 11 minutes how many 30 second commercials were played that hour? How many 60 second commercials? \n" ); document.write( "
Algebra.Com's Answer #108743 by mangopeeler07(462)\"\" \"About 
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a disc jockey must play 14 commercial spots during 1 hour of a radio show. Each commercial is either 30 seconds or 60 seconds long. If the total commercial time during 1 hour is 11 minutes how many 30 second commercials were played that hour? How many 60 second commercials?\r
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\n" ); document.write( "\n" ); document.write( "the total commercial time during 1 hour is 11 minutes
\n" ); document.write( "Convert 11 minutes to seconds
\n" ); document.write( "660 seconds\r
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\n" ); document.write( "\n" ); document.write( "x=amount of 30 second commercials
\n" ); document.write( "y=amount of 60 second commercials\r
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\n" ); document.write( "\n" ); document.write( "30x+60y=660\r
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\n" ); document.write( "\n" ); document.write( "a disc jockey must play 14 commercials\r
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\n" ); document.write( "\n" ); document.write( "x+y=14\r
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\n" ); document.write( "\n" ); document.write( "So you have \r
\n" ); document.write( "\n" ); document.write( "\"30x%2B60y=660\"
\n" ); document.write( "\"x%2By=14\"\r
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\n" ); document.write( "\n" ); document.write( "Use the second equation and solve for x.\r
\n" ); document.write( "\n" ); document.write( "\"x%2By=14\" becomes \"x=14-y\"\r
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\n" ); document.write( "\n" ); document.write( "Plug that in for x in the first equation.
\n" ); document.write( "\"30%2814-y%29%2B60y=660\"\r
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\n" ); document.write( "\n" ); document.write( "Distribute
\n" ); document.write( "\"420-30y%2B60y=660\"\r
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\n" ); document.write( "\n" ); document.write( "Combine like terms
\n" ); document.write( "\"420%2B30y=660\"\r
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\n" ); document.write( "\n" ); document.write( "Subtract 420 from both sides
\n" ); document.write( "\"30y=240\"\r
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\n" ); document.write( "\n" ); document.write( "Divide by 30
\n" ); document.write( "\"y=8\"\r
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\n" ); document.write( "\n" ); document.write( "plug that in for y in the second original equation
\n" ); document.write( "\"x%2B8=14\"
\n" ); document.write( "\"x=6\"\r
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\n" ); document.write( "\n" ); document.write( "Check: \"30x%2B60y=660\"
\n" ); document.write( "\"30%286%29%2B60%288%29=660\"
\n" ); document.write( "\"180%2B480=660\"
\n" ); document.write( "It's true!\r
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\n" ); document.write( "\n" ); document.write( "So the dj played 6 thirty-second commercials and 8 sixty-second commercials
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