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?

Answer :

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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