Final answer:
To find the total number of tiles needed for the floor, we can set up a proportion using the given information. 5 tiles cover an area of 90 square inches, so the ratio of tiles to area is 1:18. Setting up a proportion with the total area of the floor, we find that the total number of tiles needed is 168.
Step-by-step explanation:
To solve this problem, we need to use the concept of proportionality. We know that the number of tiles is proportional to the area of the bathroom floor. We are given that 5 tiles cover an area of 90 square inches. This means that the ratio of tiles to area is 5:90 or 1:18.
To find the total number of tiles needed for the floor, we can set up a proportion using the ratio we just found. Let x be the total number of tiles needed. We can set up the proportion as follows:
1/18 = x/3024
To solve for x, we cross multiply and get:
x = (1/18) * 3024 = 168 tiles
Therefore, the total number of tiles needed for the floor is 168.