The entrance examination of a certain school has determined the admission score line. Only three-fifths of the applicants are admitted. The average score of the admitted candidates is 15 points higher than the admission line, and the average score of the unadmitted candidates is 12 points lower than the admission line. The average score of all candidates is 78 points, so what is the admission line?
某校入学考试，确定了录取分数线，报考的人中只有五分之三的人被录取，录取者平均分数比录取线高出15分，没有录取的考生的平均分比录取线低12分，所有考生的平均分是78分，那么录取线是多少？
<gadget id="calculator">78 * 5</gadget>
<output>390</output>

<gadget id="calculator">15 * 3</gadget>
<output>45</output>

<gadget id="calculator">390 - 45</gadget>
<output>345</output>

<gadget id="calculator">12 * 2</gadget>
<output>24</output>

<gadget id="calculator">345 + 24</gadget>
<output>369</output>

<gadget id="calculator">369 / 5</gadget>
<output>369/5 = around 73.8</output>

<result>369/5 = around 73.8</result>