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Math Help - Interest word problem

  1. #1
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    Interest word problem

    Michelle invested $10,000 for one year, part at 8% interest and the rest at 12% annual interest. Her total interest for the year was $944. How much money did she invest at 12% interest?



    I'm not really sure where to start on this one, any help is appreciated.
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  2. #2
    MHF Contributor
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    Let's say Michelle invests x dollars at eight percent. Then she must invest 10000-x dollars at twelve percent. So the equation for the total amount of interest she will accumulate is .08x + .12(10000-x) = 944. The equation is linear in x, so you should be able to solve for x easily after simplifying the equation.
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  3. #3
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    Thank you for the help with that, would the same thing also go for this problem as well?


    In one year, Carol earned the same amount of interest from an investment at 8% annual interest as an investment at 12% annual interest. She had invested $1500 more at 8%. How much money did she have invested 12%?
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  4. #4
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    its the same yeah.
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