There are 15 more students who play basketball than football in the extracurricular activities. If half of the students who play football change to play basketball, then the ratio of the number of students who play football to the students who play basketball is 3: 14. How many students originally played football?
大课间活动中参加打篮球的学生比踢足球的学生多15人，假如踢足球的学生中有一半的人改为去打篮球，那么踢足球的学生与打篮球学生的人数比为3：14．原来踢足球的学生有多少人．
<gadget id="calculator">3 + 14</gadget>
<output>17</output>

<gadget id="calculator">3 / 17</gadget>
<output>3/17 = around 0.176471</output>

<gadget id="calculator">(3/17) * 2</gadget>
<output>6/17 = around 0.352941</output>

<gadget id="calculator">1 - (6/17)</gadget>
<output>11/17 = around 0.647059</output>

<gadget id="calculator">(11/17) - (6/17)</gadget>
<output>5/17 = around 0.294118</output>

<gadget id="calculator">15 / (5/17)</gadget>
<output>51</output>

<gadget id="calculator">51 - 15</gadget>
<output>36</output>

<gadget id="calculator">36 / 2</gadget>
<output>18</output>

<result>18</result>