A total of 50 people participated in a certain mathematics competition, and 20 students won the prize. Their average score was 4 points higher than the winning score line. The average score of the 30 students who did not win the award was 11 points lower than the winning score line. The average score of all students was 87 points , What is the winning score line?
某次数学竞赛共有50人参加，有20名学生获奖，他们的平均分比获奖分数线高4分，未获奖的30名学生的平均分比获奖分数线低11分，所有学生的平均成绩是87分，获奖分数线是多少分？
<gadget id="calculator">50 * 87</gadget>
<output>4_350</output>

<gadget id="calculator">4 * 20</gadget>
<output>80</output>

<gadget id="calculator">4_350 - 80</gadget>
<output>4_270</output>

<gadget id="calculator">30 * 11</gadget>
<output>330</output>

<gadget id="calculator">4_270 + 330</gadget>
<output>4_600</output>

<gadget id="calculator">4_600 / 50</gadget>
<output>92</output>

<result>92</result>