A bookshelf has three layers. The ratio of the number of books on the upper layer to the number of books on the middle layer is 5:4, and the ratio of the number of books on the middle layer to the number of books on the lower layer is 6:7. It is known that there are 410 books in the three layers. How many books are there on the layer with the most books?
一个书架有三层，上层放书的本数和中层放书的本数比是5：4，中层放书的本数和下层放书的本数比是6：7，已知三层共有书410本．放书最多的层有多少本书？
<gadget id="calculator">30 + 24 + 28</gadget>
<output>82</output>

<gadget id="calculator">30 / 82</gadget>
<output>15/41 = around 0.365854</output>

<gadget id="calculator">410 * (15/41)</gadget>
<output>150</output>

<result>150</result>