document.write( "Question 1202451: Twenty four students are in Miss favor's class. One sixth 1/6 of the students were born in the first quarter of the year. One half(1/2) of the remaining students were born in the months May through august. There are no september birthday but one fifth(1/5) of the remaining birthdays are in october. If one student was born in november, how many december birthdays are there? \n" ); document.write( "

Algebra.Com's Answer #837295 by ikleyn(52786) $\"\"$ $\"About$

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\n" ); document.write( "Twenty four students are in Miss favor's class.
\n" ); document.write( "One sixth 1/6 of the students were born in the first quarter of the year.
\n" ); document.write( "One half(1/2) of the remaining students were born in the months May through august.
\n" ); document.write( "There are no September birthday
\n" ); document.write( "but one fifth(1/5) of the remaining birthdays are in October.
\n" ); document.write( "If one student was born in November, how many December birthdays are there?
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document.write( "See the solution in the table below\r\n" );
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document.write( "    Months   n of birthdays   cumulative sum    n of remaining  \r\n" );
document.write( "                               of birthdays        birthdays      \r\n" );
document.write( "  --------------------------------------------------------------\r\n" );
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document.write( "    1-3       24/6 = 4            4              24-4 = 20\r\n" );
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document.write( "     4          0                 4                20\r\n" );
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document.write( "    5-8       (1/2)*20        4+10 = 14          24-14 = 10\r\n" );
document.write( "               = 10\r\n" );
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document.write( "     9          0                14                10\r\n" );
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document.write( "    10        (1/5)*10        14+2 = 16          24-16 = 8\r\n" );
document.write( "                = 2         \r\n" );
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document.write( "    11          1 (one)       16+1 = 17          24-17 = 7\r\n" );
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document.write( "ANSWER.  7 December birthdays.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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