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Weekly Problem 25 - 2006

Stage: 2 and 3 Challenge Level: Challenge Level:2 Challenge Level:2

2005/12 = 167 remainder 1.
So, if 167 of the larger boxes are used 1 bar will remain.

It follows that if 166 larger boxes are used there will13 bars left (not a mulitple of 5).
However, if 165 of the larger boxes are used this will leave 25 bars, which can be packed into 5 of the smaller boxes.

Total number of boxes is 165 + 5 = 170.

This problem is taken from the UKMT Mathematical Challenges.

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