A factory has two workshops, the ratio of the number of people in the first workshop to the number of people in the second workshop is 5:3, if 88 people are transferred from the first workshop to the second workshop, the ratio of the number of people in the first workshop to the number of people in the second workshop is 3:4, how many people are there in these two workshops?
某工厂有两个车间，第一车间人数与第二车间人数的比是5：3，如果从第一车间调88人到第二车间，则第一车间的人数比第二车间人数的比是3：4，这两个车间共有多少人？
<gadget id="calculator">5 + 3</gadget>
<output>8</output>

<gadget id="calculator">5 / 8</gadget>
<output>5/8 = around 0.625</output>

<gadget id="calculator">3 + 4</gadget>
<output>7</output>

<gadget id="calculator">3 / 7</gadget>
<output>3/7 = around 0.428571</output>

<gadget id="calculator">(5/8) - (3/7)</gadget>
<output>11/56 = around 0.196429</output>

<gadget id="calculator">88 / (11/56)</gadget>
<output>448</output>

<result>448</result>