Jason considered two similar televisions at a local electronics store. The generic version was based off the brand name and was 2/3 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?

For this case we have two televisions, one generic version and one brand. We know that the generic version represents \(\frac {2} {3}\)the size of the brand. We must define two variables that represent the dimensions of the brand TV, so we have:

x: Brand TV length

y: Brand TV width

Dimensions of the generic TV:

\(Length = 12\\Width = 24\)

So:

\(\frac {2} {3} x = 12\)

\(\frac {2} {3} y = 24\)

By clearing the variables we have:

\(x = 12 \frac {3} {2} = 18\\y = 24 \frac {3} {2} = 36\)

Thus, the dimensions of the brand TV are 18 inches by 36 inches

Answer:

The dimensions of the brand TV are 18 inches by 36 inches

eurydike eurydike · Answer 2 · 2019-04-28T07:15:57-04:00

Answer:

Width of brand name television = 18 inches

Height of brand name television = 36 inches

Step-by-step explanation:

Given,

Width of generic TV = 12 inches

Height of generic TV = 24 inches

Let the width of brand name television = W

Let the height of brand name television = H

As given in question,

Size of generic television = 2/3 of the size of the brand name television

Thus,

2/3 W = 12 inches

2/3 H = 24 inches

On solving the given equations, we get –

W = (12 x 3)/2 = 18 inches

H = (24 x 3)/2 = 36 inches

Width of brand name television = 18 inches

Height of brand name television = 36 inches