Banquet Hall in Troy
It cost $25 per guest here and $1000 for the room .
Banquet hall in Plymouth
It cost $30 per guest and $825 for the room
Let
the number of guest = x
The number of the guest that will make the cost of the 2 banquet equal can be calculated below
[tex]\begin{gathered} 1000+25x=825+30x \\ 1000-825=30x-25x \\ 175=5x \\ x=\frac{175}{5} \\ x=35 \end{gathered}[/tex]The number of guest that will make the cost of the banquet equal is 35 guest.