## Description

The American Analog Set will play at an auditorium that has 400 balcony seats and 1600 main-level seats. If tickets for balcony seats will cost $15 less than tickets for main-level seats, what should the price be for each type of ticket so the total revenue from a sellout performance will be $70,000?

## Explanation & Answer

Thank you for the opportunity to help you with your question!

let the price of main level seats be x

price for balcony seats will be x-15

therefore

400(x-15) + 1600x = 70,000

400x - 6000 +1600x = 70,000

400x+1600x = 70,000 +6000

2000x = 76000

x= 76000/2000

x= 38

let the price of main level seats be x = 38

price for balcony seats will be x-15

=38-15

= 23

Please let me know if you need any clarification. I'm always happy to answer your questions.

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