SOLUTION: a theater charges $4 for main floor seats and $2.50 for balcony seats. If all seats are sold, the ticket income is $2100. At one show, 25% of the main floor seats and 40% of the ba

SOLUTION: a theater charges $4 for main floor seats and $2.50 for balcony seats. If all seats are sold, the ticket income is $2100. At one show, 25% of the main floor seats and 40% of the ba

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Question 340378: a theater charges $4 for main floor seats and $2.50 for balcony seats. If all seats are sold, the ticket income is $2100. At one show, 25% of the main floor seats and 40% of the balcony seats were sold, and ticket income was $600. How many seats are on the main floor and how many are on the balcony?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Let

represent the number of main floor seats. Let

represent the number of balcony seats. The value of all of the main floor seats is then

and the value of all of the balcony seats is

. 25% of the value of the main floor seats is

and 40% of the value of the balcony seats is

.

Given the box office data we can now write:

Solve for

which is to say (# main floor seats,# balcony seats)

John

My calculator said it, I believe it, that settles it

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