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lockers at Olympic High

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lockers at Olympic High

by sanju09 » Wed Mar 09, 2011 4:45 am
The student lockers at Olympic High are numbered consecutively beginning with locker number 1. The plastic digits used to number the lockers cost two cents apiece. Thus, it costs two cents to label locker number 9 and four cents to label locker number 10. If it costs $137.94 to label all the lockers, how many lockers are there at the school?
A. 2001
B. 2010
C. 2100
D. 2726
E. 6897



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by anshumishra » Wed Mar 09, 2011 11:38 am
sanju09 wrote:The student lockers at Olympic High are numbered consecutively beginning with locker number 1. The plastic digits used to number the lockers cost two cents apiece. Thus, it costs two cents to label locker number 9 and four cents to label locker number 10. If it costs $137.94 to label all the lockers, how many lockers are there at the school?
A. 2001
B. 2010
C. 2100
D. 2726
E. 6897



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9 -> [1 - 9] -> 2cents
90 -> [10-99] - 4 cents
999 -> [100-999] - 6 cents
x -> having 4 digits - 8 cents

So, 9*2+90*4+999*6+x*8 = 13794
=> x = 1002
So, total no. of lockers = 9+90+999+1002 = 999+1002 = 2001 A
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