book Maths Puzzle Numerical Ability

please help me solve this:

you are going to invest $20,000, part at 12% and part at 16%. what is the most that can be invested at 12% in order to make at least $3000 interest?

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solve by addition

2/3x - 1/2y=2

1/3x + 1/4y=3

thank you very much
1/4(8y+4) + 17< -1/2(4y-8)