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23 June, 05:07

When she graduates college, Linda will owe 43,000 in student loans. The interest rate on the federal loans is 4.5 and the rate on the private bank loan is 2%. The total interés she owes for a year was 1,585. What is the amount of each loan

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  1. 23 June, 08:52
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    The amount of loan from federal is 29,000 and amount of loan from private bank is (43,000 - 29,000) = 14,000

    Step-by-step explanation:

    Data provided:

    Total amount owed by Linda = 43,000

    Interest rate on the federal loans = 4.5%

    Interest rate on the private bank loans = 2%

    Total interest = 1,585

    let the amount loaned by federal loans be 'A'

    Therefore,

    The amount loaned by private bank = 43,000 - A

    Now,

    4.5% of A + 2% of (43,000 - A) = 1,585

    or

    0.045A + 0.02 (43,000 - A) = 1,585

    or

    0.045A + 0.02 * 43,000 - 0.02A = 1,585

    or

    0.025A + 860 = 1,585

    or

    0.025A = 1,585 - 860

    or

    0.025A = 725

    or

    A = 29,000

    Hence,

    The amount of loan from federal is 29,000 and amount of loan from private bank is (43,000 - 29,000) = 14,000
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