June is running for class president.  She needs just over 50% of the vote to win.  There are 200 students in the school.  60% of students are boys and the rest are girls.  If she receives 67.5% of male vote, what is the smallest percentage of the female she must receive to win the election?
50% of the vote is 100 votes because 200 x .5 = 
<gadget id="calculator">200*.5</gadget>
<output>100</output>
100.
Just over 50% is 101 votes because 100 + 1 = 101
120 students are boys because 200 x .6 = 
<gadget id="calculator">200*.6</gadget>
<output>120</output>
120
80 students are girls because 200 - 120 = 
<gadget id="calculator">200-120</gadget>
<output>80</output>
80.
She gets 81 votes from boys because 120 x .675 = 
<gadget id="calculator">120*.675</gadget>
<output>81</output>
81.
She needs 20 votes from girls because 101 - 81 = 
<gadget id="calculator">101-81</gadget>
<output>20</output>
20.
She needs a proportion of .25 of girl's votes to win because 20 / 80 = 
<gadget id="calculator">20/80</gadget>
<output>1/4 = around 0.25</output>
.25.
The percentage she needs is 25 because 100 x .25 = 
<gadget id="calculator">100*.25</gadget>
<output>25</output>
25.

<result>25</result>