Math Problems, Proportions Problems

Problem of the Day: 3/10/13

Carlo needs two cans of paint to coat every three walls in his house. How many cans does he need to paint two coats on each of his eight four-walled rooms?

Solution to yesterday’s problem:

Let’s find how many different ways we can subdivide one beat. First of all, we can have one quarter note. Then we can subdivide that into two eighth notes. That’s two different ways so far. Next, we can subdivide either of those two eighth notes into sixteenth notes, which adds two more ways. Finally we can subdivide both eighth notes into sixteenth notes, adding one more way. So there are five possible ways to subdivide a beat in this fashion. Using the blanks method to find how many possible ways there are for four beats:

__5__ __5__ __5__ __5__

Multiplying these numbers together gives a total of 625 ways.

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