There are 18 tables and 20 booths are at the restaurant
Solution:
Let "x" be the number of tables
Let "y" be the number of booths
The restaurant has 38 seating units
Therefore,
x + y = 38
x = 38 - y ------- eqn 1
Hometown Buffet has tables that can seat 6 people and booths that can seat 4 people
Total of 188 people
Therefore,
6x + 4y = 188 ------ eqn 2
Substitute eqn 1 in eqn 2
6(38 - y) + 4y = 188
228 - 6y + 4y = 188
2y = 40
y = 20
Substitute y = 20 in eqn 1
x = 38 - 20
x = 18
Thus there are 18 tables and 20 booths are at the restaurant