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algebra

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A man invested half of his money at 5%, one-third of his money at 4%, and the rest of his money at 5.5%. If his total investment income was $570, how much had he invested?
and please show me the solution to solve this problem. thanx
sorry bobpursly I cant understand your solution how can i compute this?

  • algebra -

    1/2 + 1/3 = 5/6, so

    .05 * x/2 + .04 * x/3 + .055 * x/6 = 570

    multiply by 6 to clear fractions:

    .05 * x * 3 + .04 * x * 2 + .055 * x = 6*570

    .15x + .08x + .055x = 3420
    .285x = 3420
    x = 12000

    .05 * 6000 = 300
    .04 * 4000 = 160
    .055 * 2000 = 110
    Total: 570

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