Answer: [tex]75\%[/tex]
Step-by-step explanation:
You know that the ratio of the television's screen is [tex]5:4[/tex] . This ratio can be also written as the following fraction:
[tex]\frac{5}{4}[/tex]
The television shows an image with a ratio of [tex]20:12[/tex] which can be also written as a fraction:
[tex]\frac{20}{12}[/tex]
Set up the following proportion and solve for "x":
[tex]\frac{20}{x}=\frac{5}{4}\\\\x=\frac{4*20}{5}\\\\x=16[/tex]
Now, in order to find the percent of the screen area occupied make the following division:
[tex]\% occupied=\frac{12}{16}*100=75\%[/tex]
