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Math Help - please help !

  1. #1
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    please help !

    Mr. Nielsen invested $250,000 in two different automobile companies. The first earned a 5% profit, and second earned a 10% profit. If Mr. Nielsen made 3 times as much profit from the 10% investment as he did from the 5% investment, how much did he invest in the company that made 5%?
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by bobby77
    Mr. Nielsen invested $250,000 in two different automobile companies. The first earned a 5% profit, and second earned a 10% profit. If Mr. Nielsen made 3 times as much profit from the 10% investment as he did from the 5% investment, how much did he invest in the company that made 5%?
    Let x be how much invested in the 5% company, then the
    amount invested in the 10% company was 250-x.

    Profit from 10% investment:

    <br />
P_{10}=0.1(250-x)<br />

    Profit from 5% investment:

    <br />
p_5=0.05\ x<br />

    We are told that P_{10}=3\times P_5 so:

    <br />
0.1 \times (250-x)=3\times (0.05 x)<br />

    or:


    <br />
25-0.1x=0.15 x<br />

    Which you should be able to solve.

    RonL
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