Question

The owner of a restaurant is designing the floor plan for customers. the first floor plan, has 11tables and 20 booths, which seats a total of 182 people. the second floor plan, has 11 tables and 22 booths, which seats a total of 198 people. setup and solve a system of equations that gives the number seated at each type of table.

Answer 1

So.
Booths : B
Tables : T

11T + 20B = 182
11T + 22B = 198
( I found he difference in total.)
198 - 182 = 16
(16 divided by the number of difference in Booths)
16 / 2 = 8
( So each Booth seats 8 people- now plug in for B)
11T + 20(8) = 182
11T + 160 = 182
(Move the 160 over to leave T by itself, subtract since it's a positive number)
11T = 182 - 160
11T = 22
(Move the 11 to find T, divide since it's with a Variable)
T = 2
(Plug in your findings for T and B to check if hey are right.)
11(2) + 20(8) = 182
(22) + (160) = 182
182 = 182

And that's how you do it!

I hope it helps!!