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Al saves pennies. He agreed to give 1/2 of his pennies to Bev is she would give 1/2 of what she got from Al to Carl and if Carl in turn would give 1/2 of what he got from Bev to Dani. Bev, Carl, and Dani agreed and Dani received 6 pennies. How many pennies did Al have initially?

Answer :

ANSWER

[tex]48\text{ pennies}[/tex]

EXPLANATION

Let the number of pennies Al has be x.

Bev gave 1/2 of what she got from Al to Carl, which means that Bev gave:

[tex]\begin{gathered} \frac{1}{2}\cdot\frac{1}{2}\cdot x \\ \Rightarrow\frac{1}{4}x \end{gathered}[/tex]

Carl gave 1/2 of what he got from Bev to Dani, which means that Carl gave:

[tex]\begin{gathered} \frac{1}{2}\cdot(\frac{1}{4}x) \\ \Rightarrow\frac{1}{8}x \end{gathered}[/tex]

That is the number that Dani received.

We have that Dani received 6 pennies which means:

[tex]\frac{1}{8}x=6[/tex]

Solve for x by multiplying both sides by 8:

[tex]undefined[/tex]

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