Archie and Dongdong played the game together. At the beginning, the number of cards in Archie's hand was the number of cards in Dongdong's hand (3/5); after playing several rounds, Archie won Dongdong's 20 cards, At this time, the number of cards in Archie's hand is (7/5) the number of cards in Dongdong's hand. May I ask: How many cards does Archie have in total at this time?
阿奇和冬冬一起玩游戏牌，开始时阿奇手里的牌数是冬冬手里牌数的(3/5)；玩了若干局后，阿奇赢了冬冬的20张牌，此时阿奇手里的牌数反而是冬冬手里牌数的(7/5)．请问：阿奇此时一共有多少张牌？
<gadget id="calculator">5 + 7</gadget>
<output>12</output>

<gadget id="calculator">5 / 12</gadget>
<output>5/12 = around 0.416667</output>

<gadget id="calculator">3 + 5</gadget>
<output>8</output>

<gadget id="calculator">3 / 8</gadget>
<output>3/8 = around 0.375</output>

<gadget id="calculator">(5/12) - (3/8)</gadget>
<output>1/24 = around 0.041667</output>

<gadget id="calculator">20 / (1/24)</gadget>
<output>480</output>

<gadget id="calculator">480 * (3/8)</gadget>
<output>180</output>

<gadget id="calculator">180 + 20</gadget>
<output>200</output>

<result>200</result>