A mathematics competition was held in the sixth grade. A total of several students won prizes. Among them, the students who won the first prize were three less than one-fifth of the remaining number of winners, and those who won the second prize occupied one-third of the number of prize winners. The number of students who won the third prize is 21 more than the number of students who won the second prize. How many people have won the prize?
六年级举行一次数学竞赛，共有若干名同学得奖，其中得一等奖的同学比余下的得奖人数的五分之一少三名，得二等奖的占领奖人数的三分之一，得三等奖的人数比二等奖的人数同学多21名，问得奖人数是多少？
<gadget id="calculator">1 / 5</gadget>
<output>1/5 = around 0.2</output>

<gadget id="calculator">(1/5) * 21</gadget>
<output>21/5 = around 4.2</output>

<gadget id="calculator">21 - 3</gadget>
<output>18</output>

<gadget id="calculator">(21/5) + 18</gadget>
<output>111/5 = around 22.2</output>

<gadget id="calculator">3 - (1/5) - (1/5) - 1 - 1</gadget>
<output>3/5 = around 0.6</output>

<gadget id="calculator">(111/5) / (3/5)</gadget>
<output>37</output>

<gadget id="calculator">3 * 37</gadget>
<output>111</output>

<result>111</result>