The original ratio of the number of people in workshops A and B is 3:2. After transferring 96 people from workshop A to workshop B, the ratio of people in workshop A to workshop B is 2:3. How many people were there in the two workshops?
甲、乙两车间原有人数的比是3：2，从甲车间调96人到乙车间后，甲车间与乙车间人数的比是2：3，两车间原来共有多少人？
<gadget id="calculator">3 + 2</gadget>
<output>5</output>

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

<gadget id="calculator">2 + 3</gadget>
<output>5</output>

<gadget id="calculator">2 / 5</gadget>
<output>2/5 = around 0.4</output>

<gadget id="calculator">(3/5) - (2/5)</gadget>
<output>1/5 = around 0.2</output>

<gadget id="calculator">96 / (1/5)</gadget>
<output>480</output>

<result>480</result>