Miguel has $80 in his bank and saves $2 a week. Jesse has $30 in his bank but saves $7 a week. In ho

Discussion in 'Calculator Requests' started by math_celebrity, Sep 22, 2020.

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  1. math_celebrity

    math_celebrity Administrator Staff Member

    Miguel has $80 in his bank and saves $2 a week. Jesse has $30 in his bank but saves $7 a week. In how many weeks will Jesse have more in his bank than Miguel?

    Set up the Bank value B(w) for Miguel where w is the number of weeks
    B(w) = Savings Per week * w + Current Bank Balance
    B(w) = 2w + 80

    Set up the Bank value B(w) for Jesse where w is the number of weeks
    B(w) = Savings Per week * w + Current Bank Balance
    B(w) = 7w + 30

    The problem asks when Jesse's account will be more than Miguel's. So we set up an inequality where:
    7w + 30 > 2w + 80

    To solve this inequality, we type it in our search engine and we get:
    w > 10
     

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