document.write( "Question 838078: A restaurant has tables for 4 and six. There is a total tables of 32, with seats for 152 patrons. How many tables for six are there? \n" ); document.write( "

Algebra.Com's Answer #504860 by Edwin McCravy(20056) $\"\"$ $\"About$

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A restaurant has tables for 4 and six. There is a total tables of 32, with seats for 152 patrons. How many tables for six are there?
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document.write( "We can do the problem with or without algebra.  We'll do it both ways.\r\n" );
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document.write( "Without algebra:\r\n" );
document.write( "Tables for 4 are tables for 2 couples and tables for 6 are tables for 3 couples.\r\n" );
document.write( "There are seats for 152 patrons, or for 152÷2 or 76 couples. If all 32 tables\r\n" );
document.write( "were tables for 2 couples there would only be seats for 32×2 or 64 couples.\r\n" );
document.write( "So the other seats for the 76-64 or 12 couples must be at tables for 3 couples.\r\n" );
document.write( "So there are 12 tables for 6 (and 32-12 or 20 tables for 4).\r\n" );
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document.write( "Answer: 12 tables for six.\r\n" );
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document.write( "With algebra.\r\n" );
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document.write( "Make this chart:\r\n" );
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document.write( "            number       seats      number or\r\n" );
document.write( "           of tables   per table      seats      \r\n" );
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document.write( "for four    32-x          4          4(32-x)\r\n" );
document.write( "for six       x           6            6x\r\n" );
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document.write( "totals        32                      152\r\n" );
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document.write( "The equation comes from:\r\n" );
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document.write( "    \r\n" );
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document.write( "Solve that and get x=12, or 12 tables for six, (and 32-12=20 tables for four). \r\n" );
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document.write( "Edwin

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