document.write( "Question 1200780: One month Trey rented 4 movies and 8 video games for a total of $61. The next month he rented 2 movies and 3 video games for a total of $25. Find the rental cost for each movie and each video game. \n" ); document.write( "

Algebra.Com's Answer #834989 by ikleyn(52879) $\"\"$ $\"About$

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\n" ); document.write( "One month Trey rented 4 movies and 8 video games for a total of $61.
\n" ); document.write( "The next month he rented 2 movies and 3 video games for a total of $25.
\n" ); document.write( "Find the rental cost for each movie and each video game.
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document.write( "Write equations as you read the problem\r\n" );
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document.write( "    4m + 8v = 61   (1)\r\n" );
document.write( "    2m + 3v = 25   (2)\r\n" );
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document.write( "Solve it by the elimination method. For it, multiply eq(2) by 2 (both sides).\r\n" );
document.write( "Keep eq(1) as is\r\n" );
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document.write( "    4m + 8v = 61   (1')\r\n" );
document.write( "    4m + 6v = 50   (2')\r\n" );
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document.write( "Subtract eq(2') from eq(1')\r\n" );
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document.write( "         8v - 6v = 61 - 50\r\n" );
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document.write( "            2v   =    11\r\n" );
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document.write( "             v   =    11/2 = 5.50.\r\n" );
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document.write( "Now from eq(2)\r\n" );
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document.write( "    2m + 3*5.50 = 25  --->  2m = 25 - 3*5.50 = 8.50  --->  m = 8.50/2 = 4.25.\r\n" );
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document.write( "ANSWER.  $4.25 for m  and  $5.50 for v.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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\n" ); document.write( "\n" ); document.write( "To see many other word problems, solved by using systems of two equations in two unknowns,
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\n" ); document.write( "\n" ); document.write( " - Typical word problems on systems of 2 equations in 2 unknowns \r
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\n" ); document.write( "\n" ); document.write( "Reading this lesson will give you a lot and will make your horizon wider.\r
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