Johnson Mathematics Department Problem of the Week:

1) There is a limited number of yearly calendars. How many different possible calendars are there? How many years does it take before each calendar is used at least once? Start counting with the year 2001.

2) A purchase is made under the following conditions. There is a 25% discount due to a sale, another 10% discount because of the size of the purchase, and a 3% discount for paying cash. These discounts are successive. That is, they are taken one after the other. The customer paid $195.89. What was the original purchase price before any discounts were considered?

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