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?

7 x + 200 = 17,700
6 x + 200 = 17,700
7 x minus 200 = 17,700
6 x minus 200 = 17,700

Answer 1

2nd option 6x + 200 = 17,700

Answer 2

6x + 200 = 17,000

Explanation:

Lower level = 4x - 300

Mid level = 2x + 500

Combine the two equations to find the number of seats in the upper level

(2x + 500) × (4x - 300) = 17,000

Combine like terms

4x × 2x + 500 - 300 = 17,000

6x + 200 = 17,000