There are first and second prizes in a mathematics competition. It is known that the ratio of the number of winners from schools A and B is 6:5.2 the sum of the number of people who won second prizes from schools A and B accounted for 60% of the total number of winners from the two schools. 3 The ratio of the number of people who won the second prize between schools A and B is 5:6. What is the percentage of the number of people who won the second prize in school A as a percentage of the total number of awardees in the school?
某次数学竞赛设一、二等奖．已知1甲、乙两校获奖的人数比为6：5.2甲、乙两校获二等奖的人数总和占两校获奖人数总和的60%．3甲、乙两校获二等奖的人数之比为5：6．问甲校获二等奖的人数占该校获奖总人数的百分数是几？
<gadget id="calculator">6 + 5</gadget>
<output>11</output>

<gadget id="calculator">60 / 100</gadget>
<output>3/5 = around 0.6</output>

<gadget id="calculator">5 + 6</gadget>
<output>11</output>

<gadget id="calculator">5 / 11</gadget>
<output>5/11 = around 0.454545</output>

<gadget id="calculator">(5/11) / 6</gadget>
<output>5/66 = around 0.075758</output>

<gadget id="calculator">11 * (3/5) * (5/66)</gadget>
<output>1/2 = around 0.5</output>

<result>1/2 = around 0.5</result>