If a bottle of fruit juice is filled with 9 small cups and 6 large cups, there will be no leftover, and if 6 small cups and 8 large cups are filled, there will be no leftover. How many large cups can this bottle of juice fill at most?
一瓶果汁倒满9个小杯和6个大杯正好没剩余，倒满6个小杯和8个大杯也正好没剩余，这瓶果汁最多能到多少个大杯．
<gadget id="calculator">6 / 1.5</gadget>
<output>4</output>

<gadget id="calculator">4 + 8</gadget>
<output>12</output>

<result>12</result>