document.write( "Question 300590: There is a boy named Regan who collects baseball cards. He has between 2500 and 3000 cards Use the facts and divide to find how many he has. Facts: When the total number of cards in his collection is divided by two, the remainder is one. When the total is divided by 3, remainder = 2. When total is divided by 4, remainder = 3. When the total is divided by 5, remainder = 4. This pattern follows up to when the total is divided by 10, the remainder is 9. \n" ); document.write( "
Algebra.Com's Answer #215676 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "It has to end with 9 since when divided by 10 it leaves a remainder of 9.\r\n" );
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document.write( "Try 2509\r\n" );
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document.write( "  1254   \r\n" );
document.write( " -----\r\n" );
document.write( "2)2509\r\n" );
document.write( "  2508\r\n" );
document.write( "  ----\r\n" );
document.write( "     1  so when divided by 2 it leaves remainder 1\r\n" );
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document.write( "   836   \r\n" );
document.write( " -----\r\n" );
document.write( "3)2509\r\n" );
document.write( "  2508\r\n" );
document.write( "  ----\r\n" );
document.write( "     1  so when divided by 3 it leaves remainder 1\r\n" );
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document.write( "No good.  It has to leave a remainder of 2.\r\n" );
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document.write( "So we try the next integer ending with 9, or 2519\r\n" );
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document.write( "  1259   \r\n" );
document.write( " -----\r\n" );
document.write( "2)2519\r\n" );
document.write( "  2518\r\n" );
document.write( "  ----\r\n" );
document.write( "     1  so when divided by 2 it leaves remainder 1 \r\n" );
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document.write( "\r\n" );
document.write( "   839    \r\n" );
document.write( " -----\r\n" );
document.write( "3)2519\r\n" );
document.write( "  2517\r\n" );
document.write( "  ----\r\n" );
document.write( "     2  so when divided by 3 it leaves remainder 2\r\n" );
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document.write( "\r\n" );
document.write( "   629    \r\n" );
document.write( " -----\r\n" );
document.write( "4)2519\r\n" );
document.write( "  2516\r\n" );
document.write( "  ----\r\n" );
document.write( "     3  so when divided by 4 it leaves remainder 3\r\n" );
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document.write( "\r\n" );
document.write( "   503    \r\n" );
document.write( " -----\r\n" );
document.write( "5)2519\r\n" );
document.write( "  2515\r\n" );
document.write( "  ----\r\n" );
document.write( "     4  so when divided by 5 it leaves remainder 4\r\n" );
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document.write( "\r\n" );
document.write( "   419    \r\n" );
document.write( " -----\r\n" );
document.write( "6)2519\r\n" );
document.write( "  2514\r\n" );
document.write( "  ----\r\n" );
document.write( "     5  so when divided by 6 it leaves remainder 5\r\n" );
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document.write( "\r\n" );
document.write( "   359    \r\n" );
document.write( " -----\r\n" );
document.write( "7)2519\r\n" );
document.write( "  2513\r\n" );
document.write( "  ----\r\n" );
document.write( "     6  so when divided by 7 it leaves remainder 6\r\n" );
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document.write( "\r\n" );
document.write( "   314    \r\n" );
document.write( " -----\r\n" );
document.write( "8)2519\r\n" );
document.write( "  2512\r\n" );
document.write( "  ----\r\n" );
document.write( "     7  so when divided by 8 it leaves remainder 7\r\n" );
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document.write( "\r\n" );
document.write( "   279    \r\n" );
document.write( " -----\r\n" );
document.write( "9)2519\r\n" );
document.write( "  2511\r\n" );
document.write( "  ----\r\n" );
document.write( "     8  so when divided by 9 it leaves remainder 8\r\n" );
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document.write( "    251 \r\n" );
document.write( "  -----\r\n" );
document.write( "10)2519\r\n" );
document.write( "   2510\r\n" );
document.write( "   ----\r\n" );
document.write( "      9 so when divided by 10 it leaves remainder 9\r\n" );
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document.write( "So the second number I tried that ended with 9 worked.\r\n" );
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document.write( "Edwin
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