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Jesse considered two similar televisions at a local electronics store. The generic version was based on the brand name and was three fourths the size of the brand name. If the generic television set is 24 inches by 42 inches, what are the dimensions of the brand name television? Round to the nearest inch.

Answer :

SOLUTION

To find the dimensions of the brand name television;

Step 1:

[tex]\begin{gathered} Let\text{ g=generic television} \\ b=brand\text{ name television} \end{gathered}[/tex]

Step 2:

[tex]\begin{gathered} From\text{ the question;} \\ g=\frac{3}{4}\times b \end{gathered}[/tex][tex]\begin{gathered} For\text{ 24 inches;} \\ 24=\frac{3}{4}\times b \\ b=\frac{4\times24}{3} \\ b=32inches \end{gathered}[/tex][tex]\begin{gathered} For\text{ 42 inches;} \\ 42=\frac{3}{4}\times b \\ b=\frac{4\times42}{3} \\ b=56inches \end{gathered}[/tex]

Finally, the dimension of the brand name television is 32inches by 56inches.

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