Jim has $440 in his savings account and adds $12 per week to the account. At the same time, Rhonda h

Discussion in 'Calculator Requests' started by math_celebrity, Dec 2, 2021.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    Jim has $440 in his savings account and adds $12 per week to the account. At the same time, Rhonda has $260 in her savings account and adds $18 per week to the account. How long will it take Rhonda to have the same amount in her account as Jim?

    Set up Jim's savings function S(w) where w is the number of weeks of savings:
    S(w) = Savings per week * w + Initial Savings
    S(w) = 12w + 440

    Set up Rhonda's savings function S(w) where w is the number of weeks of savings:
    S(w) = Savings per week * w + Initial Savings
    S(w) = 18w + 260

    The problems asks for w where both savings functions equal each other:
    12w + 440 = 18w + 260

    To solve for w, we type this equation into our math engine and we get:
    w = 30
     

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