Let t be the total cost of going playing golf during the month; therefore,
[tex]t\le55[/tex]Since Teegan has no more than $55 to spend.
Furthermore, if x is the number of buckets of balls,
[tex]t=10.15x[/tex]Therefore,
[tex]\Rightarrow10.15x\le55[/tex]Solving for x,
[tex]\begin{gathered} \Rightarrow x\le\frac{55}{10.15}=5.4187\ldots \\ \Rightarrow x\le5.4187\ldots \end{gathered}[/tex]Thus, the maximum number of times he can go is 5 times.