The school holds a mathematics competition, and awards are awarded according to the number of participants. There are several first, second and third prizes. Announce the results of the competition, the number of people who won the first and second prizes accounted for 60% of the number of people who won the third prize, and the number of people who won the second and third prizes accounted for (7/8) of the total number of winners, and 10 people won the second prize. How many students in this school participate in the mathematics competition?
学校举行数学竞赛，按参赛人数颁奖，分设一、二、三等奖各若干名．公布竞赛结果，获得一、二等奖的人数占获得三等奖人数的60%，而获得二、三等奖的人数占获奖总人数的(7/8)，有10个人获二等奖．该校有多少学生参加数学竞赛？
<gadget id="calculator">60 / 100</gadget>
<output>3/5 = around 0.6</output>

<gadget id="calculator">1 + (3/5)</gadget>
<output>8/5 = around 1.6</output>

<gadget id="calculator">(3/5) / (8/5)</gadget>
<output>3/8 = around 0.375</output>

<gadget id="calculator">7 / 8</gadget>
<output>7/8 = around 0.875</output>

<gadget id="calculator">(7/8) - 1</gadget>
<output>-1/8 = around -0.125</output>

<gadget id="calculator">(3/8) + (-1/8)</gadget>
<output>1/4 = around 0.25</output>

<gadget id="calculator">10 / (1/4)</gadget>
<output>40</output>

<result>40</result>