Question

A restaurant can seat 100 people it has booth that seat four people and tables that seat six people so far five of the booth are full.

what expression matches the situation

Answer 1

4b + 6t = 80

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