Poor Delbert has been asked to do some tiling at home. He doesn't really understand the pattern. Can you help? How many black tiles to white?(1 to every 2)
What is the proportion of black tiles to the whole pattern(1/3) What is the proportion of white tiles to the whole pattern?
Of course, I can help explain the pattern to Delbert.
If the pattern is 1 black tile to every 2 white tiles, it means that for every 3 tiles, there is 1 black tile and 2 white tiles. To understand the proportion, we can calculate the ratio of black tiles to white tiles and the ratio of white tiles to the whole pattern.
1) Black tiles to white tiles:
For every 1 black tile, there are 2 white tiles. So the ratio of black tiles to white tiles is 1:2.
2) Black tiles to the whole pattern:
If there is 1 black tile for every 3 tiles, it means the black tiles represent one-third of the whole pattern. So the proportion of black tiles to the whole pattern is 1/3.
3) White tiles to the whole pattern:
Since the black tiles represent one-third of the whole pattern, the white tiles would represent the remaining two-thirds. Thus, the proportion of white tiles to the whole pattern is 2/3.
To summarize:
- The ratio of black tiles to white tiles is 1:2.
- The proportion of black tiles to the whole pattern is 1/3.
- The proportion of white tiles to the whole pattern is 2/3.
By understanding these proportions, Delbert can better visualize and plan his tiling project.