Bookstores carry out discount book sales activities for students, and all one-time purchases of books not exceeding 200 yuan will be discounted at 20%. A student paid 80 yuan for the first book purchase, and there was a 40% discount for the second purchase. He checked the price of the book and found that the two times saved a total of 220 yuan. How much did the student actually pay for the second book purchase?
书店开展学生优惠售书活动，凡一次性购书不超过200元的一律八折优惠，超过200元的，其中200元按八折计算，超过部分按六折优惠．某学生第一次购书付款80元，第二次购书存在六折优惠，他查看了书的定价，发现两次共节省了220元钱，则该学生第二次购书实际付款多少元？
<gadget id="calculator">80 / 100</gadget>
<output>4/5 = around 0.8</output>

<gadget id="calculator">80 / (4/5)</gadget>
<output>100</output>

<gadget id="calculator">1 - (4/5)</gadget>
<output>1/5 = around 0.2</output>

<gadget id="calculator">100 * (1/5)</gadget>
<output>20</output>

<gadget id="calculator">220 - 20</gadget>
<output>200</output>

<gadget id="calculator">200 * (4/5)</gadget>
<output>160</output>

<gadget id="calculator">60 / 100</gadget>
<output>3/5 = around 0.6</output>

<gadget id="calculator">200 * (3/5)</gadget>
<output>120</output>

<gadget id="calculator">200 - 120</gadget>
<output>80</output>

<gadget id="calculator">160 + 80</gadget>
<output>240</output>

<gadget id="calculator">1 - (3/5)</gadget>
<output>2/5 = around 0.4</output>

<gadget id="calculator">240 / (2/5)</gadget>
<output>600</output>

<gadget id="calculator">600 - 200</gadget>
<output>400</output>

<result>400</result>