In order to let the students have a tidy learning environment, the school decided to use the holidays to paint all the classrooms. If team A will do it alone, it will take 20 days, team B will take 24 days to do it alone, and team C will take 30 days to do it alone. Team A will do it first After 5 days, the remaining three teams cooperated to complete. The labor remuneration for all painting is 6,000 yuan, how much should the school pay Team A?
为了让同学有一个整洁的学习环境，学校决定利用假期将所有教室都粉刷一遍，若甲队单独做需要20天，乙队单独做需要24天，丙队单独做需要30天，甲队先做5天后，剩下的由三个队合作完成．全部粉刷劳动报酬是6000元，学校应支付甲队多少元？
<gadget id="calculator">1 / 20</gadget>
<output>1/20 = around 0.05</output>

<gadget id="calculator">(1/20) * 5</gadget>
<output>1/4 = around 0.25</output>

<gadget id="calculator">1 - (1/4)</gadget>
<output>3/4 = around 0.75</output>

<gadget id="calculator">1 / 24</gadget>
<output>1/24 = around 0.041667</output>

<gadget id="calculator">1 / 30</gadget>
<output>1/30 = around 0.033333</output>

<gadget id="calculator">(1/20) + (1/24) + (1/30)</gadget>
<output>1/8 = around 0.125</output>

<gadget id="calculator">(3/4) / (1/8)</gadget>
<output>6</output>

<gadget id="calculator">5 + 6</gadget>
<output>11</output>

<gadget id="calculator">(1/20) * 11 * 6_000</gadget>
<output>3_300</output>

<result>3_300</result>