Distribute a plate of fruit candies to A, B, C, and D, among which (1/5) is given to A; (1/3) is given to B; the amount of candy given to C is exactly the difference between A and B 3 times. It is known that Ding is given 10 pieces of candy, how many pieces of fruit candy are there in total?
把一盘水果糖分给甲、乙、丙、丁四个小朋友，其中(1/5)分给甲；(1/3)分给乙；给丙的糖数正好是甲、乙两人差数的3倍．已知分给丁10粒糖，这盘水果糖共有多少粒？
<gadget id="calculator">1 / 5</gadget>
<output>1/5 = around 0.2</output>

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

<gadget id="calculator">(1/3) - (1/5)</gadget>
<output>2/15 = around 0.133333</output>

<gadget id="calculator">(2/15) * 3</gadget>
<output>2/5 = around 0.4</output>

<gadget id="calculator">1 - (1/5) - (1/3) - (2/5)</gadget>
<output>1/15 = around 0.066667</output>

<gadget id="calculator">10 / (1/15)</gadget>
<output>150</output>

<result>150</result>