Question

Jason considered two similar televisions at a local electronics store. The generic version was based on the brand name and was 35 the size of the brand name. If the generic television set is 16 inches by 40 inches, what are the dimensions of the brand name television?

List the dimensions of the brand name television.

Show your work.

Answer 1

The dimensions of the brand name television are
`26(2)/(3)\ in` by
`66(2)/(3)\ in`

Explanation:

we know that

The generic version was based on the brand name and was 3/5 the size of the brand name

Let

x----> the length of the size of the brand name

y----> the width of the size of the brand name

Find the length of the size of the brand name

we know that

`40=(3)/(5)x` -----> equation A

Solve for x

Multiply by 5 both sides

`5*40=3x`

Rewrite and divide by 3 both sides

`x=200/3\ in`

Convert to mixed number

`200/3=(198/3)+(2/3)=66(2)/(3)\ in`

Find the width of the size of the brand name

we know that

`16=(3)/(5)y` -----> equation B

Solve for y

Multiply by 5 both sides

`5*16=3y`

Rewrite and divide by 3 both sides

`x=80/3\ in`

Convert to mixed number

`80/3=(78/3)+(2/3)=26(2)/(3)\ in`