school held a language and mathematics competition in the first grade of junior high school. The number of people participating in the competition accounted for 40% of the total number of students in the whole grade. /6), there are 14 students participating in both items, so how many students are there in the first grade in this school?
某校初一年级举行语文和数学竞赛，参加竞赛的人数占全年级总人数的40%，参加语文竞赛的人数占竞赛人数的(2/5)，参加数学竞赛的人数占竞赛人数的(5/6)，两项都参加的有14人，那么该校初一年级共有学生多少名？
<gadget id="calculator">2 / 5</gadget>
<output>2/5 = around 0.4</output>

<gadget id="calculator">5 / 6</gadget>
<output>5/6 = around 0.833333</output>

<gadget id="calculator">(5/6) - 1</gadget>
<output>-1/6 = around -0.166667</output>

<gadget id="calculator">(2/5) + (-1/6)</gadget>
<output>7/30 = around 0.233333</output>

<gadget id="calculator">40 / 100</gadget>
<output>2/5 = around 0.4</output>

<gadget id="calculator">14 / (7/30) / (2/5)</gadget>
<output>150</output>

<result>150</result>