Two electrical appliance factories, A and B, cooperate to produce a batch of color TV sets. Factory A first produces 6 days and completes (1/5) of the production plan. Then A and B cooperate in production for 8 days to complete the task. It is known that factory A produces a total of 1,400 sets. This batch How many color TVs are there in total?
甲乙两个电器厂合作生产一批彩电，甲厂先生产6天后，完成了生产计划的(1/5)，接着甲乙合作生产8天，完成任务，已知甲厂总共生产1400台，这批彩电总共多少台？
<gadget id="calculator">1 / 5</gadget>
<output>1/5 = around 0.2</output>

<gadget id="calculator">(1/5) / 6</gadget>
<output>1/30 = around 0.033333</output>

<gadget id="calculator">6 + 8</gadget>
<output>14</output>

<gadget id="calculator">(1/30) * 14</gadget>
<output>7/15 = around 0.466667</output>

<gadget id="calculator">1_400 / (7/15)</gadget>
<output>3_000</output>

<result>3_000</result>