The length of a TV is LaTeX: \frac{16}{9}16 9 times the width. The length of Mrs. Hoang's new TV is 32 inches. What is its width?

Respuesta :

Given:

The length of a TV is [tex]\frac{16}{9}[/tex] times the width.

Length of the new TV = 32 inches.

To find:

The width of the new TV.

Solution:

Let x be the width of the new TV.

It is given that, the length of a TV is [tex]\frac{16}{9}[/tex] times the width.

[tex]Length=\dfrac{16}{9}x[/tex]

Length of the new TV = 32 inches.

[tex]32=\dfrac{16}{9}x[/tex]

[tex]32\times \dfrac{9}{16}=\dfrac{16}{9}x\times \dfrac{9}{16}[/tex]

[tex]18=x[/tex]

Therefore, the width of the new TV is 32 inches.