Final answer:
After calculating 9 yellow tiles (30% of 30) and 10 blue tiles (1/3 of 30), we find that there are 11 red tiles remaining in the rectangle.
Step-by-step explanation:
To find the number of red tiles in a rectangle composed of 30 colored tiles where 30% are yellow, 1/3 are blue, and the rest are red, we can first calculate the number of yellow and blue tiles and subtract them from the total to find the number of red tiles.
First, calculate the number of yellow tiles: 30% of 30 tiles = 0.30 × 30 = 9 yellow tiles.
Next, calculate the number of blue tiles: 1/3 of 30 tiles = 30 / 3 = 10 blue tiles.
Lastly, calculate the number of red tiles: Total tiles (30) - yellow tiles (9) - blue tiles (10) = 11 red tiles.
Therefore, there are 11 red tiles in the rectangle.