car manufacturer completed 55% of the annual plan in the first half of the year, and completed 60% of the annual plan in the second half of the year. The result was 3,000 cars over produced. How many cars were originally planned to be produced in a year?
某汽车制造厂上半年完成全年计划的55%，下半年完成全年计划的60%，结果超产3000辆，原计划一年生产多少辆汽车？
<gadget id="calculator">55 / 100</gadget>
<output>11/20 = around 0.55</output>

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

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

<gadget id="calculator">(11/20) + (-2/5)</gadget>
<output>3/20 = around 0.15</output>

<gadget id="calculator">3_000 / (3/20)</gadget>
<output>20_000</output>

<result>20_000</result>