Jason considered two similar televisions at a local electronics store. The generic version was based on the brand name and was three fourths the size of the brand name. If the generic television set is 12 inches by 24 inches, what are the dimensions of the brand name television?

Respuesta :

12*4/3 = 16
24*4/3= 32

Answer: The dimensions of brand name will be

16 inches by 32 inches.

Step-by-step explanation:

Since we have given that

Dimensions of generic version is given by

[tex]12\text{ inches }\times 24\text{ inches }[/tex]

Since we have also given that

[tex]Generic=\frac{3}{4}\times \text{brand }[/tex]

So, we first use the 12 inches

[tex]12=\frac{3}{4}\times \text{ brand}\\\\12\times \frac{4}{3}=brand\\\\16\text{ inches}=brand[/tex]

Similarly,

if we now use the dimension 24 inches

[tex]24=\frac{3}{4}\times \text{ brand}\\\\24\times \frac{4}{3}=brand\\\\32\text{ inches}=brand[/tex]

so, the dimensions of brand name will be

16 inches by 32 inches.