Answer:
4b + 6t = 80
Step-by-step explanation:
A restaurant can seat 100 people it has booth that seat four people and tables that seat six people.
Let b = the number of booths in the restaurant.
Let t = the number of tables in the restaurant.
A total of 100 people will occupy (4b + 6t) seats in the restaurant.
(4b + 6t) seats lesser than or equal to 100.
So far, five of the booth are full. This means that a total of 4×5 = 20 people are already seated. Number of seats left would be 100 - 20= 80 seats.
The expression that matches the current situation can be expressed as follows:
4b + 6t + 20 = 100
4b + 6t = 100 - 20 = 80
4b + 6t = 80