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21 December, 21:18

Al saves pennies. He agreed to give 3/5 of his pennies to Bev if she would give 3/5 of what she got from Al to Carl and if Carl in turn would give 3/5 of what he got from Bev to Dani. Bev, Carl, and Dani agreed and Dani received 297 pennies. How many pennies did Al have initially?

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  1. 21 December, 21:36
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    A = the pennies that Al had initially

    Al gives (4/9) a pennies to Bev

    Bev gives (4/9) (4/9) a to Carl

    Carl gives (4/9) (4/9) (4/9) a to Dani

    Dani received (4/9) (4/9) (4/9) a = 960 pennies

    (4/9) (4/9) (4/9) a = 960

    (64/729) a = 960

    a = (960*729) / 64

    a = 10,935 pennies

    Al had 10,935 pennies initially.
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