Linear Systems

Question

Danny's Bagel Shop has tables that seat two people and tables that seat 4 people. There are a total of 20 tables, and 66 people can be seated. How many tables of each size are there?

Answer 1

x = 2-seaters

 

20 - x = 4 seaters

 

2x + 4(20 - x) = 66

 

2x + 80 - 4x = 66

 

80 - 2x = 66

 

-2x = -14

 

x = 7

 

There are 7 two-seaters and 20 - 7 = 13 four-seaters