Question

jason considered two similar televisions at a local electronics store. the generic version was based on the brand name and was $\frac{2}{3}$ 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?
16 inches by 32 inches
9 inches by 18 inches
18 inches by 36 inches
8 inches by 16 inches

Explanation:

Step1: Set up proportion for width

Let the width of the brand - name TV be $x$. We know that $\frac{2}{3}x = 12$.
$x=\frac{12}{\frac{2}{3}}=12\times\frac{3}{2}=18$.

Step2: Set up proportion for height

Let the height of the brand - name TV be $y$. We know that $\frac{2}{3}y = 24$.
$y=\frac{24}{\frac{2}{3}}=24\times\frac{3}{2}=36$.

Answer:

C. 18 inches by 36 inches