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