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?
~~~~~~~~~~~~~~~~~~~


<pre>
The number of the digits bought is  {{{58.12/0.04}}} = 1453.


Of them, 5*1  =  5 digits are for five 1-digit odd numbers from 1 to 9;  1453-5 = 1448 digits left.


         45*2 = 90 digits are for 45 2-digit odd numbers from 11 to 99;  1448-90 = 1358 digits left.


         450*3 = 1350 digits are for 450 3-digit odd numbers from 101 to 999;  1358-1350 = 8 digits left.


These 8 digits are for two the 4-digit odd numbers 1001  and  1003  on the north side of Carlito street.


The total number of houses on the north side of Carlito street is 5 + 45 + 450 + 2 = 502.    <U>ANSWER</U>
</pre>

Solved.



////////////////////



Below is my comment regarding Edwin' solution to this problem.



&nbsp;&nbsp;&nbsp;&nbsp;The solution by &nbsp;Edwin, &nbsp;giving the answer &nbsp;501 for the number of houses 
&nbsp;&nbsp;&nbsp;&nbsp;with odd plates on them - is &nbsp;INCORRECT.


&nbsp;&nbsp;&nbsp;&nbsp;The Edwin's error is in the last two sentences in his post before the word &nbsp;<U>Answer</U> :


    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;he incorrectly counted even numbers from 0 to 1002, inclusively,  

    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;and incorrectly counted odd numbers from &nbsp;1 &nbsp;to &nbsp;1003, &nbsp;inclusively.


&nbsp;&nbsp;&nbsp;&nbsp;The correct count for even numbers/plates from &nbsp;0 &nbsp;to 1002, &nbsp;inclusively, &nbsp;is &nbsp;502, 

&nbsp;&nbsp;&nbsp;&nbsp;as well as the correct count for odd numbers/plates  &nbsp;from &nbsp;1 &nbsp;to &nbsp;1003, &nbsp;inclusively, &nbsp;is &nbsp;502.