The correct ratio that compares the number of brown tiles to the total number of tiles in one section is: 8:12. This ratio represents the simplified form where the number of brown tiles (8) is compared to the total number of tiles (8 + 12 = 20). (option B)
In José's patio design, the ratio of brown tiles to the total tiles in one section is expressed as 8:12. This ratio simplifies to its reduced form, 2:3, by dividing both parts by their greatest common factor, 4.
This means for every 2 brown tiles, there are 3 tiles in total (comprising 2 brown and 1 white).
Ratios provide a clear understanding of the relationship between quantities, allowing José to maintain a balanced and aesthetically pleasing design with the optimal mix of brown and white tiles for his outdoor patio section.
So option B is correct.