Yoric the worker came to a fair looking for a job.

There, Arley, an artisan, offered him the following terms:

"I wil pay you once every 67 days, one gold coin for a day of work, minus five coins for upkeep - a total of 62 coins in all!"

Suddenly a competing artisan named Bentley interrupted:

"Don't work for Arley, come work for me instead. I will also give you one coin a day, minus five for upkeep, but I will pay you every 57 days instead of 67. That's right, stick with me, and you'll get your 52 coins a whole ten days faster!"

Even though he wasn't very good at math, Yoric was a smart fellow and quickly figured out who was offering a better deal. Can you do it without using a calculator or performing complex fractional arithmetics?

the first offer is better because he charges less upkeep.
for arley, for every 67 days he charges 5 gold for upkeep.
for bentley, he charges 5 gold in upkeep every 57 days.

Posted by nat on 2005-04-26 02:15:23