A certain theater has 100 balcony seats. For every $2 increase in the price of a balcony seat above $10, 5 fewer seats will be sold. If all the balcony seats are sold when the price of each seat is $10, which of the following could be the price of a balcony seat if the revenue from the sale of balcony seats is $1,160 ?  Choose the correct answer.
A) $12	B) $14	C) $11.5	D) $17	E) $18
I solved it as follows:   10+2(x) = 100 -5(x)   x= 12   Equation should be (10+$2*x)(100-5x)=1,160, where x is the # of times we increased the price by $2. (10+$2*x)(100-5x)=1,160 --&gt; (5+x)(20-x)=116 --&gt; x=0.75 or x=14.25 --&gt; price=10+$2*0.75=$11.5 or price10+ 2*0.75= 
<gadget id="calculator">10+ 2*0.75</gadget>
<output>11.5</output>
$11.5 or price=10+$2*14.25=$38.5.   Answer: $11.5.
<result>C</result>
A certain theater has 100 balcony seats. For every $2 increase in the price of a balcony seat above $10, 5 fewer seats will be sold. If all the balcony seats are sold when the price of each seat is $10, which of the following could be the price of a balcony seat if the revenue from the sale of balcony seats is $1,160 ?