**Problem of the Week #4**__:__ (Fall, 2014, for the week of 9/15/2014 – 9/19/2014)

A car odometer is broken. It proceeds from the digit 3 to the digit 5, always skipping the digit 4. The position of the digit does not matter, wherever there is a 3, the next digit in its position is a 5. For example, if the odometer reads 050399, after one mile is traversed the next reading would be 050500. If the odometer now reads 002015, how many miles has the car actually traveled? Clearly show the mathematical process that you use to __ find__ your solution.

Solutions are due at or before noon, Friday September 19.

**Rules:**

- This contest is open to any students who are registered at Sinclair for the Fall semester of 2014. It is expected that students will
**work alone**on the problems. - Weekly problems will be posted on the board in the Math Help Room Monday mornings. Solutions to a problem will appear there the following week.
- All answers must be substantiated
**by hand**for credit (show all work). Programs written to solve the problem by computer or calculator will not count as sufficient justification. - Submit solutions to Susan Harris in room 01-331. You may slip them under her office door anytime before Friday at noon.
- Names of all students who submit correct solutions on time will be posted by the following week.
- A prize of $50 will be awarded to the student who correctly answers the most problems for the quarter, and a prize of $25 will be awarded to the second place winner.