document.write( "Question 1131507: Zach has 3/4 hour to play video games. It takes him 1/12 hour to set up the system. Each round of his favorite game takes 1/6 hour. How many rounds can he play? \n" ); document.write( "

Algebra.Com's Answer #748182 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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Zach has 3/4 hour to play video games.
\n" ); document.write( " It takes him 1/12 hour to set up the system.
\n" ); document.write( " Each round of his favorite game takes 1/6 hour.
\n" ); document.write( " How many rounds can he play?
\n" ); document.write( ":
\n" ); document.write( "let n = no. of video games played
\n" ); document.write( " $\"1%2F6\"$ n + $\"1%2F12\"$ = $\"3%2F4\"$
\n" ); document.write( "multiply equation by 12
\n" ); document.write( "12* $\"1%2F6\"$ n + 12* $\"1%2F12\"$ = 12* $\"3%2F4\"$
\n" ); document.write( "cancel the denominators
\n" ); document.write( "2n + 1 = 3(3)
\n" ); document.write( "2n + 1 = 9
\n" ); document.write( "2n = 9 - 1`
\n" ); document.write( "n = $\"8%2F2\"$
\n" ); document.write( "n = 4 video games
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check:
\n" ); document.write( " $\"4%2F6\"$ + $\"1%2F12\"$ =
\n" ); document.write( " $\"8%2F12\"$ + $\"1%2F12\"$ = $\"9%2F12\"$ = $\"3%2F4\"$ \n" ); document.write( "

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