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Nathan deposited 7/9 of his allowance into his savings account. He spent the remaining amount, or $2.50. How much did Nathan deposit into his savings account.

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  1. 6 May, 20:35
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    Let us assume that total amount of Nathan's allowance = x

    Amount of money deposited by Nathan into his savings account = 7x/9

    Remaining amount that Nathan spent = $2.50

    Now we have to get to the equation for solving the question asked.

    7x/9 + 2.50 = x

    7x + (9 * 2.50) = 9x

    7x + 22.50 = 9x

    22.50 = 9x - 7x

    22.50 = 2x

    x = 22.50/2

    = 11.25

    So $11.25 is the total allowance of Nathan.

    Then The amount of money deposited by

    Nathan in savings account = (7/9) * 11.25

    = 78.75/9

    = 8.75

    So Nathan deposits $8.75 in his savings account.
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