document.write( "Question 1208966: the numbers on the houses on the north side of carlito street are consecutive odd starting with 1. The plastic digits used to label each house are $0.04 per digit. If it costs $58.12 to label all the houses on the north side of Carlito street, how many houses are there? \n" ); document.write( "

Algebra.Com's Answer #847512 by ikleyn(52832) $\"\"$ $\"About$

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\n" ); document.write( "The numbers on the houses on the north side of Carlito street are consecutive odd starting with 1.
\n" ); document.write( "The plastic digits used to label each house are $0.04 per digit. If it costs $58.12 to label
\n" ); document.write( "all the houses on the north side of Carlito street, how many houses are there?
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document.write( "The number of the digits bought is   = 1453.\r\n" );
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document.write( "Of them, 5*1  =  5 digits are for five 1-digit odd numbers from 1 to 9;  1453-5 = 1448 digits left.\r\n" );
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document.write( "         45*2 = 90 digits are for 45 2-digit odd numbers from 11 to 99;  1448-90 = 1358 digits left.\r\n" );
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document.write( "         450*3 = 1350 digits are for 450 3-digit odd numbers from 101 to 999;  1358-1350 = 8 digits left.\r\n" );
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document.write( "These 8 digits are for two the 4-digit odd numbers 1001  and  1003  on the north side of Carlito street.\r\n" );
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document.write( "The total number of houses on the north side of Carlito street is 5 + 45 + 450 + 2 = 502.    ANSWER\r\n" );
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\n" ); document.write( "\n" ); document.write( "Below is my comment regarding Edwin' solution to this problem.\r
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\n" ); document.write( "\n" ); document.write( "    The solution by Edwin, giving the answer 501 for the number of houses
\n" ); document.write( "    with odd plates on them - is INCORRECT.\r
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\n" ); document.write( "\n" ); document.write( "    The Edwin's error is in the last two sentences in his post before the word Answer :\r
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\n" ); document.write( "\n" ); document.write( "             he incorrectly counted even numbers from 0 to 1002, inclusively, \r
\n" ); document.write( "\n" ); document.write( "             and incorrectly counted odd numbers from 1 to 1003, inclusively.\r
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\n" ); document.write( "\n" ); document.write( "    The correct count for even numbers/plates from 0 to 1002, inclusively, is 502, \r
\n" ); document.write( "\n" ); document.write( "    as well as the correct count for odd numbers/plates from 1 to 1003, inclusively, is 502.\r
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