A school held a mathematics ability test, and divided students into A, B, and C grades according to their grades. Among the participating students, (2/5) have reached A grade, and their average product is 4 points higher than the A grade line. The average grades of B and C students are 11 points lower than the A grades. The average score of all participating students was 87 points. Ask: What is the score line for A and so on?
某校举行数学能力测试，按学生的成绩划分A、B、C三等分线．在参加的学生中有(2/5)的人达到A等，他们的平均乘积比A等分数线高4分．B、C两等学生的平均成绩比A等分数线低11分．所有参赛学生的平均成绩是87分．求：A等的分数线是多少？
<gadget id="calculator">87 * 5</gadget>
<output>435</output>

<gadget id="calculator">4 * 2</gadget>
<output>8</output>

<gadget id="calculator">435 - 8</gadget>
<output>427</output>

<gadget id="calculator">11 * 3</gadget>
<output>33</output>

<gadget id="calculator">427 + 33</gadget>
<output>460</output>

<gadget id="calculator">460 / 5</gadget>
<output>92</output>

<result>92</result>