document.write( "Question 30720: Please help me!!! A jazz group on tour has been drawing average crowds of 500 persons. It is projected that for every $1 increase in the $12 ticket price, the average attendance will decrease by 50. At what ticket price will the nightly receipts be $5600? \n" ); document.write( "
Algebra.Com's Answer #17438 by Paul(988)\"\" \"About 
You can put this solution on YOUR website!
Let x be the number of $1 increase:
\n" ); document.write( "Cost of tickets: x+12
\n" ); document.write( "Tickets sold = 500-50x
\n" ); document.write( "Equation:
\n" ); document.write( "(x+12)(500-50x)=5600
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\n" ); document.write( "Multiply the whole equation by -1 to remove the negative and simplfy:
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\n" ); document.write( "Use the quadratic formula:
\n" ); document.write( "\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"
\n" ); document.write( "a=1, b=2, c=-8
\n" ); document.write( "\"x=%28-2%2B-sqrt%282%5E2-4%2A1%2A-8%29%29%2F%282%2A1%29\"
\n" ); document.write( "\"x=%28-2%2B-sqrt%2836%29%29%2F2\"
\n" ); document.write( "\"x=%28-2-6%29%2F2\" or \"x=%28-2%2B6%29%2F2\"
\n" ); document.write( "Remove the negative: and simplfy to get:
\n" ); document.write( "x=2\r
\n" ); document.write( "\n" ); document.write( "12+2=14
\n" ); document.write( "Hence, it will be $14.
\n" ); document.write( "Paul.\r
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