SOLUTION: The farthest I've gotten on this one was that I had to add 1 to 12 and i had to take 50 away everytime I added 1 to 12. Please help me solve this equation: A jazz group on tour ha

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Question 154290: The farthest I've gotten on this one was that I had to add 1 to 12 and i had to take 50 away everytime I added 1 to 12.
Please help me solve this equation: 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 nightly receipts be $5600?
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
Let x= the number of $1 increases in the ticket price.
500*12=6000
(500-50x)(12+x)=5600
-50(x-10)(x+12)=5600
(x-10)(x+12)=-112
x^2+2x-120=-112
x^2+2x-8=0
(x+4)(x-2)=0
x=2
.
Ed