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Arman has 1160 annual income from bonds bearing 3% and 5 % interest. then he added 25% more of the 3% bonds and 40% more of the 5 % bonds, thereby increasing his annual income by 410. find his initial investment in each type of bond

(if you would,just give me the formula and i'll take it from there)

thank you

  • Math -

    I will do it using two variables

    let the original 3% investment be x
    let the original 5% investment by y

    .03x + .05y = 1160 or 3x + 5y = 116000

    after stated increase in each investment:
    .03(1.25x) + .05(1.4y) = 1570
    or after multiplying by 100
    3.75x +7y = 157000
    times 4
    15x + 28y = 628000

    you now have 2 equations in 2 unknowns, take it from there. (y=16000 , x = 12000)

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