A certain primary school holds an idiom competition for grades 4, 5 and 6, among which the number of participants in grade 6 accounts for 40% of the total number of participants, the total number of participants in grade 5 is the sum of the number of participants in the other two grades (1/2), and there are 32 participants in grade 4 How many students participated in the idiom competition this time?
某小学举办四、五、六年级成语大赛，其中六年级参赛人数占参赛总人数的40%，五年级参赛总人数是其他两个年级参赛人数和的(1/2)，四年级有32人参赛，本次参加成语大赛的学生共有多少人．
<gadget id="calculator">40 / 100</gadget>
<output>2/5 = around 0.4</output>

<gadget id="calculator">2 + 1</gadget>
<output>3</output>

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

<gadget id="calculator">1 - (2/5) - (1/3)</gadget>
<output>4/15 = around 0.266667</output>

<gadget id="calculator">32 / (4/15)</gadget>
<output>120</output>

<result>120</result>