We can find the number of tiles, using the next proportion:
[tex]\frac{1\text{ square meter}}{10\text{ }square\text{ meters}}=\frac{10.75\text{ tiles}}{x\text{ tiles}}[/tex]Solving for x:
[tex]\begin{gathered} 1\cdot x=10.75\cdot10 \\ x=107.5\text{ tiles} \end{gathered}[/tex]