Answer:
21 Booths
Step-by-step explanation:
Let there are T tables and B boots in the restaurant.
For equation 1.
Each table can accommodate 6 people and each booth seat 4 people and total persons accommodated = 180
Therefore, equation will be 6T + 4B = 180 -------(1)
For equation 2.
Total seats and booths in the restaurant are 37.
T + B = 37---------(2)
Now we will multiply equation 2 by 6 and then subtract the new equation from equation (1)
(6T + 4B) - 6(T + B) = 180 - 6×37
6T + 4B - 6T - 6B = 180 - 222
-2B = - 42
2B = 42
[tex]B=\frac{42}{2}[/tex]
B = 21
Therefore, there are 21 booths in the restaurant.
