The number of girls in the sixth grade of a certain elementary school originally accounted for 3/7 of the total number of students in the sixth grade. Later, 5 girls were transferred in. At this time, the ratio of the number of girls to the total number of students was 5:11. How many of the original students in the sixth grade?
某小学六年级原来女生人数占六年级学生总人数的(3/7)，后来又转进5名女生，这时女生人数与总人数的比是5：11，六年级原有学生多数名？
<gadget id="calculator">11 - 5</gadget>
<output>6</output>

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

<gadget id="calculator">7 - 3</gadget>
<output>4</output>

<gadget id="calculator">3 / 4</gadget>
<output>3/4 = around 0.75</output>

<gadget id="calculator">(5/6) - (3/4)</gadget>
<output>1/12 = around 0.083333</output>

<gadget id="calculator">5 / (1/12)</gadget>
<output>60</output>

<gadget id="calculator">60 * (3/4)</gadget>
<output>45</output>

<gadget id="calculator">60 + 45</gadget>
<output>105</output>

<result>105</result>