50 points:
For context before the question:
(Context of the entire activity) 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 with the same number of tiles that were in each as Bruce’s boxes. She also ran out of tile. She had to go back to the store and get an extra five tiles to finish the job.

(Part B, DO NOT answer this question) To determine whether they used the same number of tiles, set the two expressions equal to each other and solve for x. Is there a solution for x? Why or why not? If there is a solution, what is it?

The question: How could you change the equation from Part B so it has infinitely many solutions? What would infinitely many solutions mean in terms of the situation?

To change this equation to have infinitely many solutions, we need to make both sides of the equation equal. We can do this by subtracting 3x from both sides of the equation:

3x - 2 - 3x = 5x - 5 - 3x

Simplifying the equation:

-2 = 2x - 5

Next, we can add 5 to both sides of the equation:

-2 + 5 = 2x - 5 + 5

Simplifying the equation again:

3 = 2x

Finally, we divide both sides of the equation by 2 to solve for x:

3/2 = (2x)/2

Simplifying the equation one more time:

3/2 = x

This equation shows that x is equal to 3/2, which means that Bruce and Felicia used the same number of tiles.

Step-by-step explanation:

check with teacher first because i don't know if it's really right.