In the plant’s turning shop the final parts are turned from lead billets. A part from one billet. The shaved off chips obtained after 6 parts are produced, can then be melted into an additional billet.
How many final parts can be made in this way from the initial 36 lead billets?
Explanations
Without a thorough consideration of the subtle nuances of the challenge’s rules, one can reason: 36 billets give 36 parts; since the chips of every six billets give one more new billet, then six new billets are formed from the chips of the initial 36 billets. These are 6 more final parts; total 36 + 6 = 42 parts.
At the same time, these additional 6 parts would also produce chips sufficient enough for one more billet. Hence, one more final part. Thus, the total number of parts will not be 42, but 43.