In this problem the video game cost 45.00 dollars so this is 100% so now we can use a rule of 3 to calculate the 5.5
[tex]\begin{gathered} 45\to100 \\ x\to5.5 \end{gathered}[/tex]So the equation is:
[tex]\begin{gathered} x=\frac{45\cdot5.5}{100} \\ x\approx2.5 \end{gathered}[/tex]So the total cost will be:
[tex]45+2.5=47.5[/tex]So if he paid with 50 dollars then:
[tex]50-47.5=2.5[/tex]Hi will get back $2.5 dollars