Problema Solution

al saves pennies. he agreed to give 4/9 of his pennies to Bev if she sould give 4/9 of what she got from al to carl and if carl in turn would give 4/9 of what he got from bev to dani. bev, carl, and dani agreed and dani received 960 pennies. how many pennied did al have initially?

Answer provided by our tutors

let


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.