In the "Little Red Flower" mathematics competition in the city, the number of winners of a certain school accounted for (1/4) of the total number of participants in the school. Among them, 12 boys won awards, and the number of award-winning boys accounted for (4/7) of the total number of male and female students. This school How many students are participating?
某校在全市"小红花"数学竞赛中，获奖人数占全校参赛人数的(1/4)，其中男生有12人获奖，获奖男生人数占男女生总人数的(4/7)，这个学校有多少名同学参赛？
<gadget id="calculator">4 / 7</gadget>
<output>4/7 = around 0.571429</output>

<gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>

<gadget id="calculator">12 / (4/7) / (1/4)</gadget>
<output>84</output>

<result>84</result>