document.write( "Question 876674: I need help with this word problem.. thank you~\r
\n" ); document.write( "\n" ); document.write( "Ted has 6 different fruits and lines them up in this order: banana, coconut, grape, melon, kiwi, and berry. If he continues to put fruits in the same order for an infinite amount of times, what is the 75103rd fruit in this sequence? \n" ); document.write( "
Algebra.Com's Answer #529007 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Instead of numbering the fruits starting with 1, let's number them\r\n" );
document.write( "starting with 0, that is:\r\n" );
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document.write( "0 = banana\r\n" );
document.write( "1 = coconut\r\n" );
document.write( "2 = grape\r\n" );
document.write( "3 = melon\r\n" );
document.write( "4 = kiwi\r\n" );
document.write( "5 = berry\r\n" );
document.write( "6 = banana\r\n" );
document.write( "7 = coconut\r\n" );
document.write( "8 = grape\r\n" );
document.write( "9 = melon\r\n" );
document.write( "10 = kiwi\r\n" );
document.write( "11 = berry\r\n" );
document.write( "12 = banana\r\n" );
document.write( "...\r\n" );
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document.write( "That way each multiple of 6 is banana. So to find\r\n" );
document.write( "the nth fruit, we only need to divide n by 6 and take\r\n" );
document.write( "the remainder.  If the remainder is 0, the fruit is\r\n" );
document.write( "banana. If the remainder is 1 then the fruit is coconut,\r\n" );
document.write( "and so forth up to a remainder of 5 which will give the\r\n" );
document.write( "fruit berry.\r\n" );
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document.write( "Since we started numbering with 0 instead of 1, the\r\n" );
document.write( "75103rd fruit will actually be the 75102nd fruit by\r\n" );
document.write( "our system of numbering.\r\n" );
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document.write( "[That's because since fruit #1 is what we are calling \r\n" );
document.write( "fruit #0, then fruit #75103 would be what we would be \r\n" );
document.write( "calling fruit #75102.]\r\n" );
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document.write( "So we divide 75102 by 6\r\n" );
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document.write( "         12517 \r\n" );
document.write( "       6)75102  \r\n" );
document.write( "         6\r\n" );
document.write( "         15\r\n" );
document.write( "         12\r\n" );
document.write( "          31\r\n" );
document.write( "          30\r\n" );
document.write( "           10\r\n" );
document.write( "            6\r\n" );
document.write( "            42\r\n" );
document.write( "            42\r\n" );
document.write( "             0\r\n" );
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document.write( "The remainder is 0, so the answer is 'banana'.\r\n" );
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document.write( "Edwin
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