## Tuesday, November 6, 2012

### The Problem With Solutions: Brain Teasers.

While strolling through cyberspace via search engine, I came across some nifty word problems involving mixtures or solutions. These are my favorite types of algebra problems because there solutions require solutions. I can't seem to get enough irony (or wordplay) - I might be anemic. These are great problems to try to do in your head (visualize containers and the pouring process) if the math is easy enough. There are great fun, highly gratifying, and wonderful brain-trainers -- not only for algebraic reasoning, i.e., find the missing number, but for improving your ability to visualize.

That's right. The Braintenance Blog is offering our adherents (those who stick with us or to us) two benefits for the price of one. In fact, if we wanted to keep this sale in proportion we'd have to offer four benefits for the price of two; or three benefits for the price of one and a half; or (let's get crazy) one whole benefit at half price... do you see where I'm going?

Here's the first one:

Q: SOLUTION: WORD PROBLEM: How much water should be added to 8 ML of 6% Saline solution to reduce the concentration to 4%?

A:  The answer is going to be an additional 4 ML of water to be added. It is simply a matter of proportions

A few more of these problems follow from a nifty website at http://www.algebra.com

Try 'em. The method of access:

1) Click on a problem link;
2) Try to solve the problem in your head -- if it's a toughie, use the calculator;
3) Hit the "BACK" button on your browser;
5) Click on another problem link, and repeat this process.

Note: Don't forget to come back to say farewell!

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