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?
2 answers
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.
-安文
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.
-安文
0 answers