document.write( "Question 731964: the tickets in a raffle are numbered 1, 2, 3, and so on. The Price of a ticket is the number of cents
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Algebra.Com's Answer #852990 by ikleyn(53426)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "the tickets in a raffle are numbered 1, 2, 3, and so on. The Price of a ticket is the number of cents
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document.write( "I will reformulate the problem to make my reasoning shorter.\r\n" );
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document.write( "They want you find the minimal integer number value  'n' such that\r\n" );
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document.write( "the sum  1 + 2 + 3 + . . . + n  is greater than or equal to 10,000.\r\n" );
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document.write( "Such sum is  \"%28n%2A%28n%2B1%29%29%2F2\",  so we need the minimal 'n' such that\r\n" );
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document.write( "    \"%28n%2A%28n%2B1%29%29%2F2\" >= 10000.\r\n" );
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document.write( "Simplify this inequality\r\n" );
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document.write( "    n*(n+1) >= 20000.    (*)\r\n" );
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document.write( "Take the square root of 20000:  \"sqrt%2820000%29\" = 141.42.\r\n" );
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document.write( "    |   Now I state that your minimum value of  'n'  is  141.  |\r\n" );
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document.write( "Let's check the inequality (*).\r\n" );
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document.write( "    (a)  141*142 = 20022.   Good, ok.\r\n" );
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document.write( "    (b)  140*141 = 19740.   Not good.\r\n" );
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document.write( "At this point, the solution is completed by the simplest and the shortest way.\r\n" );
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document.write( "Your ANSWER  is  n = 141.\r\n" );
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\n" ); document.write( "\n" ); document.write( "The answer '50' in the post by @lynnlo is incorrect.\r
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\n" ); document.write( "\n" ); document.write( "Simply ignore his post.\r
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