Question 83715
The income from a production was $11,400.  The price of an advanced ticket was $3 and at the door tickets were $5.  If three thousand tickets were sold, how many of each kind were sold?
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Let the number of advanced tickets sold be "x" ; Value of these is 3x dollars
Number of door tickets sold is "3000-x" ; Value of these is 5(3000-x)=15000-5x
dollars.
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EQUATION:
 value + value = 11400 dollars
3x + 15000-5x = 11400
-2x = -3600
x=1800 (# of advanced tickets sold)
3000-x = 3000-1800 = 1200 (# of door tickets sold)
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Cheers,
Stan H.