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Math Help - [SOLVED] simple word problem help

  1. #1
    trapt2006@sbcglobal.net
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    [SOLVED] simple word problem help

    victor has invested $4000 into two accounts, part at 5% simple interest and part at 9% simple interest. Find how much he invested at each rate if the total interest after 1 year is $311.
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  2. #2
    MHF Contributor
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    Simple interest is P=P_0+P_0rt

    So say A=P_0+P_0(.05)(1) and B=Q_0+Q_0(.09)(1). This describes the two investment conditions you listed.

    Also we know that Q_0+P_0=4000 and P_0(.05)(1)+Q_0(.09)(1)=311

    Can you take it from here?
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  3. #3
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    Hello, trapt2006@sbcglobal.net!

    Try some baby-talk . . .


    Victor has invested $4000 into two accounts, part at 5% and part at 9%.
    Find how much he invested at each rate if the total interest after 1 year is $311.

    He invested x dollars at 5%.
    . . This will earn: 5\% \times x \:=\:0.05x dollars in interest in one year.

    He invested the rest (4000 - x) at 9%.
    . . This will earn: 9\% \times (4000 - x) \:=\:0.09(4000-x) dollars in interest in one year.


    His total interest is $311: . 0.05x + 0.09(4000 - x) \:=\:311

    and there is our equation!

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