Question

A football stadium holds 17,700 seats. The lower level has 300 seats less than 4 times the number of seats in the upper level. The middle level has 500 more seats than twice the number of seats in the upper level. Let x represent the seats in the upper level. Which equation can be used to find the number of seats in the upper level?

Answer 1

Given :

• Total number of seats = 17,700

To find :

• Equation to find number of seats in upper level

Solution :

• The football stadium has a total of 17,700 seats.

        17,700 = Lower level + Middle level + Upper level    ....(1)

• Let the number of seats in upper level be x.

• According to first condition, lower level has 300 seats less than 4 times the number of seats in the upper level.

     ∴ Lower level = 4x - 300   ....(2)

• According to second condition, middle level has 500 more seats than twice the number of seats in upper level.

     ∴ Middle level = 2x + 500    ....(3)

• From equations (1),(2) and (3),

        17,700 = (4x - 300) + (2x + 500) + x

        This equation can be used to find out number of seats in upper level

     ∴ 17,700 = 7x + 200

     ∴ 7x = 17,500

     ∴ x = 2500

Answer : There are 2500 seats in the upper level.

Answer 2

Answer:

7 x + 200 = 17,700

Step-by-step explanation: