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Sam is tiling a floor. He will use the same repeating pattern for the entire floor. The rule is "Blue Tile, White Tile, Black Tile." If he uses 85 tiles, how many will be black?

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MrRoyal

If he uses 85 tiles, 28 tiles will be black

Sequence and Pattern

The formation of the tiles of the floor follows an arithmetic sequence or pattern

The pattern is given as:

  • Blue
  • White
  • Black

Formation of the tiles

Given that the total number of tile used is 85, and the black tile is always in the third position.

The highest number less than or equal to 85 that is divisible by 3 is 84.

Next, we divide 84 by 4

[tex]n = \frac{84}{3}[/tex]

[tex]n = 28[/tex]

Hence, 28 of the tiles will be black

Read more about sequence and patterns at:

https://brainly.com/question/15590116

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