document.write( "Question 1132049: Patty uses stickers with digits printed 0 to 9 to number the pages of her scrapbook. She has lots of all digits except the digit 3, and she only has 37 of these. How many pages can she number in her scrapbook with this limitation? \n" ); document.write( "

Algebra.Com's Answer #748899 by MathLover1(20850) $\"\"$ $\"About$

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lets group the numbers into groups of $\"0-9\"$ , $\"10-19\"$ , $\"20-29\"$ , $\"30-39\"$ , $\"40-49\"$ ...
\n" ); document.write( "in group $\"0-9+\"$ there is only $\"1\"$ three used:
\n" ); document.write( " $\"10-19\"$ there is only $\"1\"$ three used :
\n" ); document.write( " $\"20-29\"$ there is only $\"1\"$ three used:
\n" ); document.write( " $\"30-39\"$ there are $\"11\"$ three used :
\n" ); document.write( " $\"40-49\"$ there is only $\"1\"$ three used :
\n" ); document.write( " $\"50-59\"$ there is only $\"1\"$ three used:
\n" ); document.write( " $\"60-69\"$ there is only $\"1\"$ three used:
\n" ); document.write( " $\"70-79\"$ there is only $\"1\"$ three used:
\n" ); document.write( " $\"80-89\"$ there is only $\"1\"$ three used:
\n" ); document.write( " $\"90-99\"$ there is only $\"1\"$ three used \r
\n" ); document.write( "\n" ); document.write( "=>There are a total of $\"20\"$ threes used from $\"1-99\"$ pages.
\n" ); document.write( "now we are only have $\"17\"$ threes left, so count $\"17\"$ threes from each group and you will get to number $\"163\"$ .
\n" ); document.write( "At number $\"163\"$ , all the threes are used. after $\"163\"$ , numbers $\"164-172\"$ do not use the number three again so the number of pages she can do total is $\"172+\"$ pages with no leftovers of threes. \r
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