Ask Question
6 March, 21:36

A movie theater complex is being built to have 24 new theaters. A total of 5,550 seats will be in the entire complex. Small theaters will have 175 seats each and large theaters will have 325 seats each. Determine how many small and large theaters are being built in the complex.

+2
Answers (1)
  1. 7 March, 00:27
    0
    The correct answer is that 15 small and 9 large theaters are being built in the complex.

    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

    y = 9 ⇒ x = 15

    The correct answer is that 15 small and 9 large theaters are being built in the complex.

    Note: Same answer to question 14178551, answered by me today.
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “A movie theater complex is being built to have 24 new theaters. A total of 5,550 seats will be in the entire complex. Small theaters will ...” in 📘 Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers