document.write( "Question 1002528: Roscoe must play 24 commercials during his 1-hr radio show. Each commercial is either thirty seconds or sixty seconds long. If the total commercial time during that hour is 16 minutes, how many commercials of each type does Roscoe play? \n" ); document.write( "

Algebra.Com's Answer #619415 by mananth(16946) $\"\"$ $\"About$

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x= commercials of 30 sec
\n" ); document.write( "y= commercials of 60 sec kid ticket
\n" ); document.write( "Total comercials
\n" ); document.write( "1 x + 1 y = 24 .............1
\n" ); document.write( "Total value
\n" ); document.write( "30 x + 60 y = 960 .............2
\n" ); document.write( "Eliminate y
\n" ); document.write( "multiply (1)by -60
\n" ); document.write( "Multiply (2) by 1
\n" ); document.write( "-60 x -60 y = -1440
\n" ); document.write( "30 x + 60 y = 960 ( 16 mins = 960 sec)
\n" ); document.write( "Add the two equations
\n" ); document.write( "-30 x = -480
\n" ); document.write( "/ -30
\n" ); document.write( "x = 16
\n" ); document.write( "plug value of x in (1)
\n" ); document.write( "1 x + 1 y = 24
\n" ); document.write( "16 + y = 24
\n" ); document.write( " y = 24 -16
\n" ); document.write( " y = 8
\n" ); document.write( " y = 8
\n" ); document.write( "x= 16 commercials of 30 sec
\n" ); document.write( "y= 8 commercials of 60 sec
\n" ); document.write( "m.ananth@hotmail.ca
\n" ); document.write( " \n" ); document.write( "

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