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 $1,460 ?	Choices.
A) $12	B) $14	C) $18.6	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)=1,460, where x is the # of times we increased the price by $2. (10+$2*x)(100-5x)=1,460 --&gt; (5+x)(20-x)=146 --&gt; x=4.3 or x=10.7 --&gt; price=10+$2*4.3=$18.6 or price10+ 2*4.3= 
<gadget id="calculator">10+ 2*4.3</gadget>
<output>18.6</output>
$18.6 or price=10+$2*10.7=$31.4.   Answer: $18.6.
<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 $1,460 ?