A person buys a TV in installments, paying 750 yuan in the first month and 150 yuan a month thereafter; or paying 300 yuan a month for the first half of the time, and 100 yuan a month for the second half of the time. The total amount and payment time of the two payment methods are the same. What is the price of this TV set?
某人以分期付款的方式买一台电视机，买时第一个月付款750元，以后每月付150元；或者前一半时间每月付300元，后一半时间每月付100元．两种付款方式的付款总数及时间都相同，这台电视机的价格是多少元．
<gadget id="calculator">750 - 150</gadget>
<output>600</output>

<gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>

<gadget id="calculator">300 * (1/2)</gadget>
<output>150</output>

<gadget id="calculator">100 * (1/2)</gadget>
<output>50</output>

<gadget id="calculator">50 - 150</gadget>
<output>-100</output>

<gadget id="calculator">150 + (-100)</gadget>
<output>50</output>

<gadget id="calculator">600 / 50</gadget>
<output>12</output>

<gadget id="calculator">12 - 1</gadget>
<output>11</output>

<gadget id="calculator">150 * 11</gadget>
<output>1_650</output>

<gadget id="calculator">750 + 1_650</gadget>
<output>2_400</output>

<result>2_400</result>