Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.
The owner of a new restaurant is designing the floor plan, and he is deciding between two different seating arrangements. The first plan consists of 18 tables and 20 booths, which will seat a total of 176 people. The second plan consists of 23 tables and 20 booths, which will seat a total of 186 people. How many people can be seated at each type of table?
Every table can seat _ people, and every booth can seat _ people.