Let's begin by listing out the given information
Amount with Corey = $15
Entrance ticket = $4
Each fried ticket = $1.25
[tex]\begin{gathered} 15-4\ge\text{1}.25x \\ 11\ge1.25x \\ \frac{11}{1.25}\ge\frac{1.25x}{1.25} \\ 8.8\ge x \\ x\le8.8 \\ x\le8 \end{gathered}[/tex]Corey can purchase 8 tickets (there's no such thing as 0.8 ticket)