The amount of tiles laid by both is an illustration of proportions.
Nora and Hana could have started with 100 and 150 tiles, respectively
Let x and y represent the amount of tiles Nora and Hana started with, respectively.
So, the amount of tiles they laid by noon is:
\(\mathbf{Nora = \frac 34x}\)
\(\mathbf{Hana = \frac 12y}\)
At noon, they've laid the same amount.
So, we have:
\(\mathbf{\frac 12y = \frac 34x}\)
Multiply both sides by 2
\(\mathbf{y = \frac 32x}\)
Assume x is 100.
So, we have:
\(\mathbf{y = \frac 32 \times 100}\)
\(\mathbf{y = 150}\)
Hence, Nora and Hana could have started with 100 and 150 tiles, respectively
Read more about proportions at:
https://brainly.com/question/11654319
