6. A restaurant can seat 100 people. It has booths
   that seat 4 people and tables that seat 6 people.
   So far, 5 of the booths are full. What expression
   matches the situation?

To represent the seating configuration in the restaurant, we first note that 5 booths seating 4 people each are already full, contributing 20 seats filled (5 booths * 4 seats). That leaves 80 remaining seats (100 total - 20 filled). Let “x” represent the number of remaining booths and “y” represent the number of tables, leading to the expression: , or simplified, . This captures the total seating scenario perfectly!

When tackling problems like these, it often helps to break them into smaller parts. First, identify how many seats are occupied and how many are left. Then, create variables for the unknowns, and set up your equations clearly! A common mistake is forgetting to account for the seats already filled, which can skew your calculations. Always start with what you know!