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 $1,260 ?  Choose the correct choice from the following answers:
A) $12 B) $14 C) $16 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)=1,260, where x is the # of times we increased the price by $2. (10+$2*x)(100-5x)=1,260 --&gt; (5+x)(20-x)=126 --&gt; x=2 or x=13 --&gt; price=10+$2*2=$14 or price10+ 2*2= 
<gadget id="calculator">10+ 2*2</gadget>
<output>14</output>
$14 or price=10+$2*13=$36.   Answer: $14.10+ 2*13= 
<gadget id="calculator">10+ 2*13</gadget>
<output>36</output>
$36.   Answer: $14.
<result>B</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 $1,260 ?