Hope Elementary School held a mathematics competition. The number of second prizes was equal to (5/2) times the number of first prizes and (3/8) the number of third prizes. There were 40 people who won third prizes. How many people are waiting for the prize?
希望小学举行数学竞赛，二等奖的人数相当于一等奖人数的(5/2)倍，同时又是三等奖人数的(3/8)，获得三等奖的有40人，获得一等奖的有多少人？
<gadget id="calculator">6 / 40</gadget>
<output>3/20 = around 0.15</output>

<gadget id="calculator">40 * (3/20)</gadget>
<output>6</output>

<result>6</result>