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: $75\%$

Step-by-step explanation:

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

$\frac{5}{4}$

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

$\frac{20}{12}$

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

$\frac{20}{x}=\frac{5}{4}\\\\x=\frac{4*20}{5}\\\\x=16$

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

$\% occupied=\frac{12}{16}*100=75\%$