Question

Al saves pennies. He agreed to give 3/8 of his pennies to bev if she would give 3/8 of what she got from Al to Carl and if Carl in turn would give 3/8 of what he got from Bev to Dani. Bev, Carl, and Dani agreed and Dani received 270 pennies. How many pennies did Al have initially?

Answer 1

x = pennies Al had initially

Al gives 3/8 to Bev. = 3/8x

Bev gives (3/8) (3/8) to Carl

Carl gives (3/8) (3/8) (3/8) to Dani

Dani received 270 pennies

(3/8) (3/8) (3/8) x = 270

Solve for x

27/512 x = 270

x = 270 / (27/512)

x = 5,120

Al had 5,120 pennies initially