document.write( "Question 1070037: 28 students from the fourth grade competed in a math competition.
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document.write( "Each student earned a different number of points. The number of
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document.write( "students who received more points than Tom's is two times smaller
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document.write( "than the number of students who had fewer points than Tom.
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document.write( "In which position did Tom finish that competition? \n" );
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Algebra.Com's Answer #685140 by Edwin McCravy(20055)![]() ![]() You can put this solution on YOUR website! 28 students from the fourth grade competed in a math competition. \n" ); document.write( "Each student earned a different number of points. The number of \n" ); document.write( "students who received more points than Tom's is two times smaller \n" ); document.write( "than the number of students who had fewer points than Tom. \n" ); document.write( "In which position did Tom finish that competition? There are 27 students besides Tom.\r\n" ); document.write( "\r\n" ); document.write( "Let x = the number of students who received more points than Tom's\r\n" ); document.write( "\r\n" ); document.write( "Then to find the number of students who had fewer points than Tom,\r\n" ); document.write( "we must subtract x from 27, and get 27-x\r\n" ); document.write( "\r\n" ); document.write( "So 27-x = the number of students who had fewer points than Tom.\r\n" ); document.write( "\r\n" ); document.write( "The number of students who received more points than Tom's is two \r\n" ); document.write( "times smaller than the number of students who had fewer points than Tom.\r\n" ); document.write( "\r\n" ); document.write( "That can be rewritten as\r\n" ); document.write( "\r\n" ); document.write( "The number of students who had fewer points than Tom is two \r\n" ); document.write( "times LARGER than the number of students who received more points \r\n" ); document.write( "than Tom.\r\n" ); document.write( "\r\n" ); document.write( "So 27-x = 2x\r\n" ); document.write( "\r\n" ); document.write( " 27 = 3x\r\n" ); document.write( " \r\n" ); document.write( " 9 = x \r\n" ); document.write( "\r\n" ); document.write( "Since x = the number of students who received more points than Tom,\r\n" ); document.write( "then 9 received more points , so Tom was in 10th place.\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |