The master and the apprentice process a batch of parts. The master takes 9 minutes to process one part, and the apprentice takes 15 minutes to process one part. When the task is completed, the master processes 100 more parts than the apprentice. How many parts did the master and the apprentice process in total?
师徒二人加工一批零件，师傅加工一个零件用9分钟，徒弟加工一个零件用15分钟，完成任务时，师傅比徒弟多加工100个零件，求师傅和徒弟一共加工了多少个零件？
<gadget id="calculator">15 * 100</gadget>
<output>1_500</output>

<gadget id="calculator">15 - 9</gadget>
<output>6</output>

<gadget id="calculator">1_500 / 6</gadget>
<output>250</output>

<gadget id="calculator">250 - 100</gadget>
<output>150</output>

<gadget id="calculator">250 + 150</gadget>
<output>400</output>

<result>400</result>