document.write( "Question 1197703: Nathan is going to a carnival that has games and rides. Each game costs $1 and each ride costs $3.75. Nathan spent $34 altogether at the carnival and the number of rides he went on is twice the number of games he played. Determine the number of games Nathan played and the number of rides Nathan went on. \n" ); document.write( "

Algebra.Com's Answer #831086 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "Nathan is going to a carnival that has games and rides.
\n" ); document.write( "Each game costs $1 and each ride costs $3.75.
\n" ); document.write( "Nathan spent $34 altogether at the carnival and the number of rides he went on
\n" ); document.write( "is twice the number of games he played.
\n" ); document.write( "Determine the number of games Nathan played and the number of rides Nathan went on.
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document.write( "Let x be the number of games; then the number of rides is 2x.\r\n" );
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document.write( "Write the total money equation\r\n" );
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document.write( "    1x + 3.75*(2x) = 34   total dollars.\r\n" );
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document.write( "Simplify and find x\r\n" );
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document.write( "    x + 7.50x = 34\r\n" );
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document.write( "      8.5x    = 34\r\n" );
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document.write( "         x    = 34/8.5 = 4.\r\n" );
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document.write( "ANSWER.  4 games and 2*4 = 8 rides.\r\n" );
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document.write( "CHECK.   4*1 + 8*3.75 = 34 total dollars.   ! correct !\r\n" );
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