Question 997155
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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 &nbsp;<B>x</B>&nbsp; be the number of tickets sold for covered pavilion.

Then the number of tickets sold for lawn seats is &nbsp;1600-x.


The balance equation is 


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


Simplify and solve:


25x + 24000 - 15x = 34000,


10x = 34000 - 24000,


10x = 10000,


x = {{{10000/10}}} = 1000.


<B>Answer</B>. &nbsp;1000&nbsp; tickets for pavilion and &nbsp;1600-1000 = 600&nbsp; tickets for lawn seats were sold.