bonus is distributed to A, B, C, and D, of which (1/6) is given to A, (1/3) is given to B, and the bonus given to C is exactly twice the difference between A and B's bonuses , it is known that the bonus paid to Ding is 2000 yuan, how much is the total bonus.
一笔奖金分给甲、乙、丙、丁四人，其中的(1/6)发给甲，(1/3)发给乙，发给丙的奖金正好是甲、乙奖金差的2倍，已知发给丁的奖金为2000元，则这笔奖金共多少元．
<gadget id="calculator">1 / 6</gadget>
<output>1/6 = around 0.166667</output>

<gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>

<gadget id="calculator">(1/3) - (1/6)</gadget>
<output>1/6 = around 0.166667</output>

<gadget id="calculator">(1/6) * 2</gadget>
<output>1/3 = around 0.333333</output>

<gadget id="calculator">1 - (1/6) - (1/3) - (1/3)</gadget>
<output>1/6 = around 0.166667</output>

<gadget id="calculator">2_000 / (1/6)</gadget>
<output>12_000</output>

<result>12_000</result>