Bruce retiled his kitchen. Originally, he bought three boxes of tile with the same number of tiles in each. He ran out of tile and had to go back to get three extra boxes of tile. However, he only used two tiles from the last box to finish the job.

Felicia also retiled her kitchen. She bought five boxes of tile, and each box contained the same number of tiles as each of Bruce's boxes. She also ran out of tile. She had to go back to the store and get five more tiles to finish the job.

In this activity, you'll determine whether Bruce and Felicia used the same number of tiles and whose tiles cover the most area per tile.

Is it possible for Bruce and Felicia to have used the same number of tiles? Use complete sentences to explain your reasoning.

Question

Denzel Vaughn

Mathematics

24 February, 13:22

Bruce retiled his kitchen. Originally, he bought three boxes of tile with the same number of tiles in each. He ran out of tile and had to go back to get three extra boxes of tile. However, he only used two tiles from the last box to finish the job.

Felicia also retiled her kitchen. She bought five boxes of tile, and each box contained the same number of tiles as each of Bruce's boxes. She also ran out of tile. She had to go back to the store and get five more tiles to finish the job.

In this activity, you'll determine whether Bruce and Felicia used the same number of tiles and whose tiles cover the most area per tile.

Is it possible for Bruce and Felicia to have used the same number of tiles? Use complete sentences to explain your reasoning.

+2

Answers (1)

Know the Answer?

Shaniya Lloyd · Answer 1

Bruce's tile covers up more space.

Step-by-step explanation:

So as we know, Bruce covers up around 1/4 of square feet and to find felicia's function we have to used the data we already have. For example, x=6 tiles, y=1 sq ft and x=12 tiles, y=2 sq ft, then we set y=kx which then we can find the value of k, 1=6k, k=1/6 then y=1/6. We then test the function with x=12 and x=18, y=1/6 12=2 and y=1/6 18=3. When the function is complete, we see that Bruce's tiles cover up more space because 1/4>1/6.