The school holds a tea party to welcome the New Year. Every two people share a plate of fruit, every three people share a plate of cake, and every four people share a plate of candy. If there are 65 plates shared, how many people can attend the tea party at most?
学校开迎新年茶话会，每两人共吃一盘水果，每三人共吃一盘蛋糕，每四人共吃一盘糖果，如果共用65个盘子，参加茶话会的最多有多少人？
<gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>

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

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

<gadget id="calculator">(1/2) + (1/3) + (1/4)</gadget>
<output>13/12 = around 1.083333</output>

<gadget id="calculator">65 / (13/12)</gadget>
<output>60</output>

<result>60</result>