SOLUTION: robert inherited $4,000 from his grandmother. part was invested at 5 %while the rest was invested at 6 1/2%. The total interest for a year was $227. how much was invested at 6 1/2%

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Question 163554: robert inherited $4,000 from his grandmother. part was invested at 5 %while the rest was invested at 6 1/2%. The total interest for a year was $227. how much was invested at 6 1/2%.
need a simple breakdown on why the answer is: 1800 were invested at 6 1/2%

Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
let x="amount @ 6.5%", so 4000-x="amount @ 5%"

(x)(6.5%)+(4000-x)(5%)=227 __ .065x+200-.05x=227 __ .015x=27 __ x=1800