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3 candidates A,B and C contest an election. A gets at least 40% of all the votes. B gets at least 20% of the number of votes that A gets and cannot get more than 80% of number of votes that c gets. What is the maximum percentage of votes that a can get?

I am looking at a generic way how to solve these questions on finding maximum values of variables where the values are inter-dependent. Thanks.

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    You don't need to sign your posts: see [Can I use a signature or tagline?](http://math.stackexchange.com/faq#signatures) from the FAQ.2012-07-21
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    @BenMillwood Thanks. Removed the signature.2012-07-21

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