Answer:
There are 20 booths and (38 - 20), or 18, tables
Step-by-step explanation:
Represent the number of tables with t and the number of booths with b.
We need to find the values of t and b.
(6 people/table)(t) + (4 people/booth)b = 188 (units are "people")
t + b = 38 (units are "seating units")
Solving the second equation for t, we get 38 - b = t.
Substitute 38 - b for t in the first equation:
(6 people/table)(38 - b) + (4 people/booth)b = 188
Then solve for b: 6(38) - 6b + 4b = 188, or:
228 - 2b = 188, or 2b = 228 - 188, or 2b = 40. Thus, b = 20 (booths)
There are 20 booths and (38 - 20), or 18, tables.
