It is known that the six people of ABCDEF have watched 5, 5, 6, 8, 8, and 10 performances respectively. The unit price of adult tickets is twice that of children's tickets. It is known that the ticket prices are all integers, and the total cost of tickets is 1026 yuan. So how much is the unit price for an adult ticket?
已知ABCDEF六个人分别看了5、5、6、8、8、10场演出，成人票价单价是儿童票票价的2倍，已知票价都是整数元，门票共支出1026元，那么成人票单价是多少元．
<gadget id="calculator">19 * 3</gadget>
<output>57</output>

<gadget id="calculator">1_026 / 57</gadget>
<output>18</output>

<gadget id="calculator">18 * 2</gadget>
<output>36</output>

<result>36</result>