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)![]() ![]() ![]() You can put this solution on YOUR website! 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 \n" ); document.write( " \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 \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x=amount of 30 second commercials \n" ); document.write( "y=amount of 60 second commercials\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "30x+60y=660\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "a disc jockey must play 14 commercials\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x+y=14\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So you have \r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Use the second equation and solve for x.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Plug that in for x in the first equation. \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Distribute \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Combine like terms \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Subtract 420 from both sides \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Divide by 30 \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "plug that in for y in the second original equation \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Check: \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "It's true!\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So the dj played 6 thirty-second commercials and 8 sixty-second commercials \n" ); document.write( " |