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2 December, 19:02

A college used a $5000 gift from an alumnus to make two student loans. The first was at 5% annual interest to a nursing student. The second was at 7% to a business major. If the college collected $308 in interest the first year, how much was loaned to each student?

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  1. 2 December, 20:04
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    The answer is: the nursing student received a $2,100 loan and the business student received a $2,900 loan

    Explanation:

    n = nursing student b = business student

    step 1:

    n + b = 5,000

    5%n + 7%b = 308

    step 2: we multiply (5%n + 7%b = 308) x - 20

    n + b = 5,000

    -n - 1.4b = - 6,160

    step 3: we subtract

    (n - n) + (b - 1.4b) = 5,000 - 6,160

    -0.4b = - 1,160

    step 4: we divide

    -0.4b / - 0.4 = - 1,160 / - 0.4

    b = 2,900

    step 5: we replace

    n + 2,900 = 5,000

    n = 2,100
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