nora and hana are tiling two floors in their houses. by noon, nora had laid 3/4 of her tiles. hana had laid 1/2 of her tiles. they laid the same number of tiles. how many tiles might each person have started with?

Respuesta :

Nora could started with 16 and Hana with 24

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