Solving Interest Problems | Alg 2 Help Needed for Marianne's Loan

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SUMMARY

Marianne borrowed a total of $10,000, with $x from a friend at 8%, $2x from a bank at 9%, and the remainder from an insurance source at 5%. The total interest paid after one year amounts to $830. By setting up the equation for interest from each source, the equation becomes 0.08x + 0.18x + 0.05(10000 - 3x) = 830. Solving this equation provides the exact amounts borrowed from each source.

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Homework Statement



Marianne borrowed 10000. She borrows from a friend at 8%, twice that amount from her bank at 9% and the rest from her Insurance at 5%. She pays a total of 830 in interest for the first year. How much did she borrow from EACH SOURCE?!

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The Attempt at a Solution



I tried on paper but got wrong values when i tried to see how much interest was from each source :(
 
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And for the interest rates, what period are they over? And what sorts of things did she borrow 10000 of?
 
Assume that she borrows 'x' amount from a friend, '2x' amount from her bank and rest from her insurance. Calculate interest paid for each amount for one year. Add it and equate it to 830. Solve for 'x'.
 

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