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 $1,560 ?
Pick.
A) $12  B) $14  C) $24  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)=1,560, where x is the # of times we increased the price by $2. (10+$2*x)(100-5x)=1,560 --&gt; (5+x)(20-x)=156 --&gt; x=7 or x=8 --&gt; price=10+$2*7=$24 or price10+ 2*7= 
<gadget id="calculator">10+ 2*7</gadget>
<output>24</output>
$24 or price=10+$2*8=$26.   Answer: $24.10+ 2*8= 
<gadget id="calculator">10+ 2*8</gadget>
<output>26</output>
$26.   Answer: $24.
<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 $1,560 ?