Question

Al saves pennies. He agreed to give 3/7 of his pennies to Bev if she would give 3/7 of what she got from Al to Carl and if Carl in turn would give 3/7 of what he got from Bev to Dani.​ Bev, Carl, and Dani agreed and Dani received pennies. How many pennies did Al have​ initially

Answer 1

2744

Explanation:

Let Al had x pennies initially.

Al agreed to give 3/7 of his pennies to Bev if she would give 3/7 of what she got from Al to Carl and if Carl in turn would give 3/7 of what he got from Bev to Dani.

So, as per the given condition,

The number of Pennies received by Ben from Al
`= (3)/(7) x`

The number of Pennies received by Carl from Bev

`=(3)/(7) * (3)/(7) x=(9)/(49)x`

The number of Pennies received by Dani from Carl

`= (3)/(7)* (9)/(49)x=(27)/(343) x`

Now, as Dani received 216 Pennies, so

`(27)/(343) x =216`

`\Rightarrow (216* 343)/(27)=2744.`

Hence, initially, Al had 2744 Pennies.