SOLUTION: One summer evening 1600 concert tickets were sold for the Fairmont Summer Jazz Festival. Tickets cost $25 for covered pavilion seats and $15 for lawn seats. Total receipts were $34

Question 997155: One summer evening 1600 concert tickets were sold for the Fairmont Summer Jazz Festival. Tickets cost $25 for covered pavilion seats and $15 for lawn seats. Total receipts were $34,000; ow many lawn and pavilion seats were sold?
Answer by ikleyn(52786) (Show Source): You can put this solution on YOUR website!
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One summer evening 1600 concert tickets were sold for the Fairmont Summer Jazz Festival. Tickets cost $25 for covered pavilion seats and $15 for lawn seats. Total receipts were $34,000. How many lawn and pavilion seats were sold?
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Let x be the number of tickets sold for covered pavilion.
Then the number of tickets sold for lawn seats is 1600-x.

The balance equation is

25x + 15*(1600-x) = 34000.

Simplify and solve:

25x + 24000 - 15x = 34000,

10x = 34000 - 24000,

10x = 10000,

x = = 1000.

Answer. 1000 tickets for pavilion and 1600-1000 = 600 tickets for lawn seats were sold.

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