The total number of spoons required is 549.
The number of available spoons is, 273.
The set contains 10 spoons. Then let us take, n be the number of sets Brandon could buy. We have,
[tex]273+10n\ge549[/tex]Solving for n, we have,
[tex]\begin{gathered} 273+10n\ge549 \\ 10n\ge549-273 \\ 10n\ge276 \\ n\ge\frac{276}{10}=27.6 \end{gathered}[/tex]Therefore, the number of sets is 28.