Question

A restaurant owner wants his new dining room to seat 80 people. He want the room to have 15 tables, consisting a mix of 4-person and 8-person tables. What ratio of 4-person and 8-person tables would meet the requirements of this owner?​

Answer 1

Answer:Let x = table with 4 seats

 

Let y = table with 5 seats  

 

x + y =  total tables = 19

 

4x + 5y = total seats = 84

 

4x + 5y = 84

 

x + y = 19

 

Multiply the bottom equation by 4

 

4x + 4y = 76

 

Subtract this equation from the first one you get

 

y = 8

Step-by-step explanation: