SOLUTION: Paul and Donna Petrie invested ​$34,000, part at 2% simple interest and the rest 7% at simple interest for a period of 1 year. How much did they invest at each rate if their tota

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Question 1196499: Paul and Donna Petrie invested ​$34,000, part at 2% simple interest and the rest 7% at simple interest for a period of 1 year. How much did they invest at each rate if their total annual interest from both investments was 1380​?
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
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​$34,000, part at 2% simple interest and the rest 7% at simple interest for a period of 1 year. How much did they invest at each rate if their total annual interest from both investments was 1380​?
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This kind done thousands of times.


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... invest ​$P, part at L% simple interest and the rest H% at simple interest for a period of 1 year. How much did they invest at each rate if their total annual interest from both investments was Y​?
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v invested at H%
P-v invested at L%
P = 34000
Y =1380

highlight_green%28%281%2F100%29Hv%2B%281%2F100%29L%28P-v%29=Y%29
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Hv%2BL%28P-v%29=100Y
Hv%2BLP-Lv=100Y
%28H-L%29v=100Y-LP
v=%28100Y-LP%29%2F%28H-L%29----------substitute the given values and evaluate v.