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23 November, 02:27

Starla and Lewis start saving money every month. Starla has an initial balance of $100, and she deposits $15 every month in her account. Lewis has an initial balance of $65, and he deposits $20 every month in his account. After how many months will they will have the same balance in their accounts?

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  1. 23 November, 02:35
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    After 7 months they will have the same amount.

    Explanation:

    Consider after x months Starla and Lewis will have the same balance.

    Given,

    For Starla,

    Initial balance = $100,

    Additional deposit amount per month = $15,

    So, the total balance after x months = initial balance + additional amount for x months = 100 + 15x,

    For Lewis,

    Initial balance = $65,

    Additional deposit amount per month = $20,

    So, the total balance after x months = 65 + 20x

    Thus, after x months,

    100 + 15x = 65 + 20x

    100 + 15x - 65 = 20x (Subtract 65 both sides)

    35 = 20x - 15x (Subtract 15x both sides)

    35 = 5x

    7 = x (Divide both sides by 5)

    Hence, after 7 months, they will have the same balance in their accounts.
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