Answered

Jason considered two similar televisions at a local electronics store. The generic version was based on the brand name and was three eighths 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?

A   7.5 inches by 15 inches
B   28 inches by 56 inches
C   32 inches by 64 inches
D   4.5 inches by 9 inches

Verified Answer :

jaimekitten7

omg i just figured this out it is c because 32 times 3 is 96 divided by 8 is 12 and 64 times 3 is 192 divides by 8 equals 24 so that means it is c

JeanaShupp

Answer: Option (C) is correct, the dimensions of the brand name television = 32 inches by 64 inches.


Step-by-step explanation:

Given :  The generic version was based on the brand name and was three eighths the size of the brand name and both are similar.

The dimensions of the generic television set = 12 inches by 24 inches

Let the dimensions of brand name be x by y such that

three eighth of x=12 inches

\(\Rightarrow\frac{3}{8}x=12\\\\\Rightarrow\ x=\frac{12\times8}{3}=32\ inches\)

and three eighth of y=24 inches

\(\Rightarrow\frac{3}{8}y=24\\\\\Rightarrow\ y=\frac{24\times8}{3}=64\ inches\)

Therefore, the dimensions of the brand name television = 32 inches by 64 inches.

Hence option (C) is correct.

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