1999 AHSME Problems/Problem 11

Problem

The student locker numbers at Olympic High are numbered consecutively beginning with locker number . The plastic digits used to number the lockers cost two cents apiece. Thus, it costs two cents to label locker number and four centers to label locker number . If it costs $137.94 to label all the lockers, how many lockers are there at the school?

Solution

The locker labeling requires digits. Lockers through require digits total, lockers through require digits, and lockers through require digits. Thus, the remaining lockers require digits, so there must be more lockers, because they each use digits. Thus, there are student lockers, or answer choice .