exam Maths Puzzle Numerical Ability

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Mike invested $6000 for one year. He invested part of it at 9% and the rest at 11%. At the end of the year he earned $624 in interest. How much did he invest at each rate?

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simplify

m^x/4*n^3

Divided by

m^2x/3(n^a)^3 Lane invested $10,000, part at 15% and part at 14%. If the total interest at the end of the year is $1,430, how much did she invest at 15%?