document.write( "Question 1207599: How many numbers between $1000$ and $2000$ leave a remainder of $3$ when divided by $47?$ \n" ); document.write( "
Algebra.Com's Answer #845561 by mccravyedwin(408)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "It just occurred to me that we could have known the answer from that first\r\n" );
document.write( "step:\r\n" );
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document.write( "1000/47 = 21.27659574\r\n" );
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document.write( "We could deduce the answer is 21, because there are just as many positive\r\n" );
document.write( "multiples of 47 between 0 and 1000 as there are between 1000 and 2000, and\r\n" );
document.write( "therefore just as many integers that are 3 more than a multiple of 47 as well.\r\n" );
document.write( "That's because they are a long way from the endpoints of the intervals, 0, 1000,\r\n" );
document.write( "and 2000.\r\n" );
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document.write( "Hey, don't turn in what I just wrote! I just wrote it to maybe help your\r\n" );
document.write( "thinking about numbers.  LOL.\r\n" );
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document.write( "Edwin
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