Pre-Calculus

An investor has $100,000 to invest in three types of
bonds: short-term, intermediate-term, and
long-term.How much should she invest in each type
to satisfy the given conditions?
Short-term bonds pay 4% annually,
intermediate-term bonds pay 5%, and long-term
bonds pay 6%. The investor wishes to realize a total
annual income of 5.1%, with equal amounts
invested in short- and intermediate-term bonds.
I don't understand the question at all, this is just an example problem for the chapter. Please help!

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  1. Important info at the end:
    "with equal amounts
    invested in short- and intermediate-term bonds. "
    So let each of those amounts be x
    then the amount invested at long-term be
    100,000 - 2x

    He wants to end up with a 5.1% profit on the total 100,000 or $5100

    Now it is easy....

    .04x + .05x + .06(100000-2x) = 5100
    .09x + 6000 - .12x = 5100
    -.03x = -900
    x = 30,000

    so .....

    I will the substitutions up to you.
    Also check the answers to see if they satisfy the original conditions.

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