Question

a television with a 5:4 screen shows an image with a ratio of 20:12 which creates a letter boxed image. What percent of the screen area is occupied

Answer 1

Answer:
`75\%`

Explanation:

You know that the ratio of the television's screen is
`5:4` . This ratio can be also written as the following fraction:

`(5)/(4)`

The television shows an image with a ratio of
`20:12` which can be also written as a fraction:

`(20)/(12)`

Set up the following proportion and solve for "x":

`(20)/(x)=(5)/(4)\\\\x=(4*20)/(5)\\\\x=16`

Now, in order to find the percent of the screen area occupied make the following division:

`\% occupied=(12)/(16)*100=75\%`