Jason considered two similar televisions at a local electronics store. The generic version was based off 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?

Question

anonymous · Answer

so when we talk TVs, we're talking about the area of the screen. So the first thing to do is find the area of the bigger TV, or 12*14

anonymous · Answer

or 168 in^2

anonymous · Answer

then we want the smaller TV to by 3/4ths that size, so we multiply 168 by 3/4 and get 126 in^2

anonymous · Answer

you with me so far?

anonymous · Answer

yes

anonymous · Answer

so now we know that the length of the small TV times the length of the small TV equals 126

anonymous · Answer

$$l*w=126$$

anonymous · Answer

but we need one more equation so we can solve for both those variables. We know that the smaller tv is patterned after the bigger one.... so...

anonymous · Answer

since the length of the big TV is 2 times its width, the same will be true for the smaller TV

anonymous · Answer

$$2w=l$$

anonymous · Answer

do you know how to use the system of equations to find the answer now?