The 2842-seat performing arts center has three sections-orchestra, mezzanine, and balcony. The mezzanine has one-sixth fewer seats than the orchestra. How many seats are in the balcony if the orchestra has 1,218 seats?

Question

Please show me how to set up the equation....

thanks

Answer 1

All the seats must add up to 2842. The orchestra has 1218. The mezzanine has 1/6 fewer or 5/6 of the value of the orchestra. The seats in the balcony are your unknown.

2842 = 1218 + (5/6) 1218 + X

I hope this helps. Thanks for asking.