document.write( "Question 424756: An amateur drama group hire a theatre for their production. They expect to sell all 850 tickets, some at $12 and the rest at $8. The group require the ticket sales to cover their $3760 production costs and to make a profit of $4000. If they are to exactly achieve this target and their expectations regarding ticket sales are correct how many of the 850 tickets should they charge $12 for and how many should they charge $8 for?\r
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Algebra.Com's Answer #296001 by htmentor(1343)\"\" \"About 
You can put this solution on YOUR website!
Let x = the number of $8 tickets.
\n" ); document.write( "Then 850-x = the number of $12 tickets.
\n" ); document.write( "Setting up the problem in equation form, we have
\n" ); document.write( "8x + 12(850-x) = 3760 + 4000
\n" ); document.write( "Collect terms and solve for x:
\n" ); document.write( "-4x + 10200 = 7760 -> x = 610
\n" ); document.write( "So they need to sell 610 $8 tickets and 850 - 610 = 240 $12 tickets
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