## Tuesday, August 11, 2009

### How much is a cup of tea?

This is the kind of question a mathematician really likes.

Here's why:
1. Tea is sold in grams or ounces or in teabags
2. Tea is measured for use with a teaspoon, by fingers - "a pinch", or by shaking out
3. Tea is consumed from tea "cups" . Here are a few common American tea "cups"

So using our math skills, we simply:
1. take the price we paid for the tea (per unit of weight)
2. measure out a small pile of tea (the measure of volume)
3. add hot water, wait 3-5 minutes and then remove the leaves
4. pour into your favorite "cup" of any size
5. drink while pondering this blog topic

Drink and do it again why trying to remember. What was the question?

Aha, it was How much does it cost?

The answer - It depends. So make a chart, with graphs (not using Blog software either!)

[click the chart to see a larger version]

Extra credit questions:
1. How much water is retained by the tea (lost from the cup) when teabag or leaves are removed?
2. Is brewed tea heavier than the same amount of plain water?
3. My tea cup weighs 5.5 ounces empty and 18.6 ounces full of tea (without leaves). How many liquid ounces of tea does it hold?