# algebra

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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?

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

thanks

• algebra -

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.

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