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 $1,060 ?
Answers:  A) $12  B) $14  C) $10.8  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)=1,060, where x is the # of times we increased the price by $2. (10+$2*x)(100-5x)=1,060 --&gt; (5+x)(20-x)=6 --&gt; x=0.4 or x=14.6 --&gt; price=10+$2*0.4=$10.8 or price10+ 2*0.4= 
<gadget id="calculator">10+ 2*0.4</gadget>
<output>10.8</output>
$10.8 or price=10+$2*14.6=$39.2.   Answer: $10.8.
<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 $1,060 ?