Answer:
<u>The correct answer is that 15 small and 9 large theaters are being built in the complex.</u>
Step-by-step explanation:
1. Let's review the information that was given to us to answer the question correctly:
Number of new theaters = 24
Number of new seats = 5,550
Number of seats of small theaters = 175
Number of seats of large theaters = 325
2. Determine how many small and large theaters are being built in the complex.
Number of small theaters = x
Number of large theaters = y
System of equations
x + y = 24
175x + 325y = 5,550
Solving for x
x + y = 24
x = 24 - y
Solving for y
175x + 325y = 5,550
175 (24 - y) + 325y = 5,550
4,200 - 175y + 325y = 5,550
150y = 5,550 - 4,200
150y = 1,350
y = 1,350/150
<u>y = 9 ⇒ x = 15</u>
<u>The correct answer is that 15 small and 9 large theaters are being built in the complex.</u>
Note: Same answer to question 14178551, answered by me today.
