A school awarded a scholarship of 3,400 yuan to 25 students in two categories. The first prize was 200 yuan per person, and the second prize was 120 yuan per person. How many students won the first prize?
某校将3400元奖学金按两种奖项奖给25名学生，其中一等奖每人200元，二等奖每人120元，问获得一等奖的学生有多少人？
<gadget id="calculator">200 * 25</gadget>
<output>5_000</output>

<gadget id="calculator">5_000 - 3_400</gadget>
<output>1_600</output>

<gadget id="calculator">200 - 120</gadget>
<output>80</output>

<gadget id="calculator">1_600 / 80</gadget>
<output>20</output>

<gadget id="calculator">25 - 20</gadget>
<output>5</output>

<result>5</result>