`The total number T of people at the sport's award banquet is ;
[tex]T=460\text{ people}[/tex]the capacity C of each table is given as;
[tex]C=8\text{ people/table}[/tex]To determine the number of tables N needed for the sport's award banquet, we will divide the total number of people by the capacity of each table;
[tex]N=\frac{T}{C}[/tex]Substituting the values of T and C, we have;
[tex]\begin{gathered} N=\frac{460}{8} \\ N=57.5 \\ N\approx58\text{ tables} \end{gathered}[/tex]The number of tables needed is 58 tables
