A, B, and C produce a batch of toys. The number of toys produced by A is 1/2 of that of B and C. The number of toys produced by B is 1/3 of that of A and C. C makes 240 pieces. How many toys are there in this batch?
甲、乙、丙三人生产一批玩具，甲生产的件数是乙、丙的(1/2)，乙生产的件数是甲、丙两人的(1/3)，丙做了240件，这批玩具共有多少件？
<gadget id="calculator">1 + 2</gadget>
<output>3</output>

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

<gadget id="calculator">1 + 3</gadget>
<output>4</output>

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

<gadget id="calculator">(1/3) + (1/4)</gadget>
<output>7/12 = around 0.583333</output>

<gadget id="calculator">1 - (7/12)</gadget>
<output>5/12 = around 0.416667</output>

<gadget id="calculator">240 / (5/12)</gadget>
<output>576</output>

<result>576</result>