Lu Yu tea shop shipped a batch of first-class tea and second-class tea, the quantity of first-class tea was 1/2 of the quantity of second-class tea, and the purchase price of first-class tea was 24 yuan per kilogram; The purchase price is 16 yuan per kilogram. Now sell according to the purchase price plus 25%. When the second-grade tea is sold out and the first-grade tea is left (1/3), the profit will be 460 yuan after deducting all purchase costs. How many kilograms of the first-grade tea will be shipped?
陆羽茶叶店运到一级茶和二级茶一批，其中一级茶的数量是二级茶的数量的(1/2)，一级茶的买进价每千克24元；二级茶的买进价是每千克16元．现在按照买进价加价25%出售，当二级茶全部售完，一级茶剩下(1/3)时，除去全部购买成本还盈利460元，那么运到的一级茶有多少千克？
<gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>

<gadget id="calculator">25 / 100</gadget>
<output>1/4 = around 0.25</output>

<gadget id="calculator">1 + (1/4)</gadget>
<output>5/4 = around 1.25</output>

<gadget id="calculator">(1/2) * 24 * (5/4)</gadget>
<output>15</output>

<gadget id="calculator">16 * (5/4)</gadget>
<output>20</output>

<gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>

<gadget id="calculator">(1/3) * (1/2) * 24 * (5/4)</gadget>
<output>5</output>

<gadget id="calculator">24 * (1/2)</gadget>
<output>12</output>

<gadget id="calculator">20 - 5 - 16 - 12</gadget>
<output>-13</output>

<gadget id="calculator">15 + (-13)</gadget>
<output>2</output>

<gadget id="calculator">460 / 2</gadget>
<output>230</output>

<gadget id="calculator">230 * (1/2)</gadget>
<output>115</output>

<result>115</result>