Al saves pennies. He agreed to give 5/9 0f his pennies to Bev if she gives 5/9 0f what she got from Al to Carl. In turn Carl will give 5/9 of what he got from Bev to Dani. After that Dani has 875 pennies total. How many pennies does Al start with?

Question

Al saves pennies.  He agreed to give 5/9 0f his pennies to Bev if she gives 5/9 0f what she got from Al to Carl. In turn Carl will give 5/9 of what he got from Bev to Dani.  After that Dani has 875 pennies total.  How many pennies does Al start with?

anonymous · Answer

Al = a. Your starting amount and what you are solving for.

Bev (b) receives 5/9a

Carl (c) receives 5/9b

Dani receives 5/9c

Dani = 875

Set up your equation:

Carl is $$\frac{ 5 }{ 9 }\left( \frac{ 5 }{ 9 }a \right)$$
Dani is 5/9 carl
$$\frac{ 5 }{ 9 }\left( \frac{ 5 }{ 9 }\left( \frac{ 5 }{ 9 }a \right) \right)$$

Since we know Dani has 875, set that last equation equal to 875 and solve.

anonymous · Answer

How  do u set the last equation to 875?

anonymous · Answer

$$875 = \frac{ 5 }{ 9 }\left( \frac{ 5 }{ 9 }\left( \frac{ 5 }{ 9 }a \right) \right)$$

anonymous · Answer

multiply 5/9 * 5/9 * 5/9=875