Question

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?

Answer 1

The expression matches the situation is 4x + 6y = 80

Step-by-step explanation:

We are given a total of 100 seats which is the maximum amount a restaurant can seat

And there are booth with 4 and table with 6 seating

so let no. of 4 seat booths be x and tables with 6 seats be y

We can form the equation as 4x + 6y = 100

We are also given that 5 of the 4 seat booths are full so this means

4
`*`5 = 20 seats out of 100 are full

so left ones can be written in the form of an expression 4x + 6y = 80