In the 6th Youth Science and Technology Innovation Contest in Jiangsu Province, the number of boys who won prizes was 30 more than half of the total prize winners, and the number of girls who won prizes was more than boys (3/4). How many people have won this competition?
在江苏省第6届青少年科技创新大赛中，男生获奖的人数比获奖总人数的一半多30人，女生获奖的人数是男生的(3/4)．本次比赛共有多少人获奖？
<gadget id="calculator">4 / 7</gadget>
<output>4/7 = around 0.571429</output>

<gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>

<gadget id="calculator">(4/7) - (1/2)</gadget>
<output>1/14 = around 0.071429</output>

<gadget id="calculator">30 / (1/14)</gadget>
<output>420</output>

<result>420</result>