Question

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?

Answer 1

Width of brand name television = 18 inches

Height of brand name television = 36 inches

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

Answer 2

Keywords:

Variables, televisions, generic version, TV brand, dimensions

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