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Math Help - Math Word Problems: Investment

  1. #1
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    Math Word Problems: Investment

    1.) An investor wishes to realize a return of 12% on a total of two investments. If he has $10,000 invested at 10%, how much additional money should be invested at 16%?

    2.) A woman invested $25000 in two business ventures. Last year she made a profit of 15% from the first venture but lost 5% from the second venture. If last year's income from the two investments was equivalent to a return of 8% on the entire amount invested, how much had she invested in each venture?

    Can you show me how it's done? I have the answers, I just don't know how to solve it. Thanks!
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  2. #2
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    a 12% return on an amount x invested is 1.12\times x

    10000 invested at 10% is 11000

    I would try

    11000+1.16\times (x-11000) = 1.12x
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  3. #3
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    HINTS; 1st one:
    Let x = amount @ 16%
    .10(10000) + .16x = .12(10000 + x)

    2nd one:
    Let x = amount @ 15%
    .15x - .05(25000 - x) = .08(25000)
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  4. #4
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    Ok, I see that my equations are the same. Thanks guys.

    So, in summary:


    .10(10000) + .16x = .12(10000 + x)
    1000 + .16x = 1200 + .12x
    .16x-.12x = 1200 - 1000
    .04x = 200
    x = 5000


    .15x - .05(25000 - x) = .08(25000)
    .15x - 1250 + .05x = 2000
    .2x = 3250
    x = 16250

    Are those right?
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