The owner of a restaurant is designing the floor plan for customers. the first floor plan, has 11tables and 20 booths, which sea
ts 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.
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
