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? (1to every 2)
There are 12 tiles in the pattern. Suppose there ere 60. How many black tiles will Delbert need then?
20 black tiles
Joshua didn't explain his answer, so I will explain it for you.
So the ratio for black to white as provided in the question is 1 black:2 white. The sum of these is 3 tiles, so we can add another part comparison. This makes the ratio:
1 black:2 white:3 tiles.
We are then told some useless information- that there are 12 tiles in the pattern. Don't get confused by that. The important information is that there are 60 tiles that Delbert has to put down in total.
We can apply this to the ratio:
B:W:S
1: 2: 3
3 x 20 = 60 (the sum, we now need to multiply all the other parts by 20)
2x20= 40 white tiles
1x20= 20 black tiles
So the new ratio is:
20:40:60
I hoped this helped improve your understanding of this key concept in Mathematics, Sameeha.
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To determine the number of black tiles Delbert will need in a given pattern, we need to understand the ratio of black tiles to white tiles. In this case, the ratio is 1 to every 2, which means for every black tile, there will be two white tiles.
First, let's calculate the number of black tiles in the initial pattern with 12 tiles. Since the ratio is 1 to every 2, we can divide the total number of tiles by the sum of the ratio numbers (1+2) to find the number of black tiles.
Number of black tiles = Total number of tiles / (1 + 2)
Number of black tiles = 12 / 3
Number of black tiles = 4
Therefore, in the initial pattern with 12 tiles, Delbert would need 4 black tiles.
Now, let's consider a scenario where there are 60 tiles in the pattern. We can use the same ratio to calculate the number of black tiles needed.
Number of black tiles = Total number of tiles / (1 + 2)
Number of black tiles = 60 / 3
Number of black tiles = 20
Therefore, if there were 60 tiles in the pattern, Delbert would need 20 black tiles.