Answer: The store sold about 4400 video games all year.
Step-by-step explanation:
Let x be the total number of video games sold by the store in a year.
Given : A store sold 550 video games during the month of December.
This made up 12.5% of it's yearly video game sales.
12.5% can be written as [tex]\dfrac{12.5}{100}=0.125[/tex]
According to the given situation , we have the following equation :
[tex]x\times0.125=550\\\\\Rightarrow\ x=\dfrac{550}{0.125}=4400[/tex]
Therefore, the store sold about 4400 video games all year.