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# help

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The landlord of an apartment building needs to purchase enough digits to label all of the apartments from 100 through 125 on the first floor and 200 through 225 on the second floor. The digits can only be purchased in a package that contains one of each digit 0 through 9. How many packages must the landlord purchase?

Jul 5, 2019

#1
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First floor =100 to 125
(0=13, 1=39, 2=9, 3=3, 4=3, 5=3, 6=2, 7=2, 8=2, 9=2) Total = 78 - numbers(0 to 9)
Second floor =200 to 225
(0=13, 1=13, 2=35, 3=3, 4=3, 5=3, 6=2, 7=2, 8=2, 9=2) Total = 78 - numbers(0 to 9)
Add them all up = 26"0s" + 52"1s" + 44"2s" + 6"3s" + 6"4s" + 6"5s" + 4"6s" + 4"7s" + 4"8s" + 4"9s" =156 - numbers or packages.

Jul 5, 2019
#2
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One question, Guest.....if each package contains one of each digit 0 - 9,   don't we need, at the most , only 52 packages???  [ since "1" is the most-used digit ]   Jul 5, 2019
#3
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CPhill: The way I interpreted the question is that each apartment requires 3 digits(0 to 9) to be affixed on each door from 100 to 125 and from 200 to 225. Each "package" is supposed to contain "one digit" from 0 to 9. At least, that is my understanding of the question!.

Jul 5, 2019