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GenaCL600 [577]
2 years ago
11

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 216 pennies. How many pennies did Al have​ initially?
Mathematics
1 answer:
ser-zykov [4K]2 years ago
3 0

Answer:

2744 pennies.

Step-by-step explanation:

Let x represent the number of pennies Al have initially.

We have been given that Al agreed to give 3/7 of his pennies to Bev, so number of pennies Bev will get would be \frac{3}{7}x.

We are also told that Bev gave 3/7 of what she got from Al to Carl, so number of pennies that Carl will get would be \frac{3}{7}x\cdot \frac{3}{7}=\frac{9}{49}x.

Further, Carl gave 3/7 of what he got from Bev to Dani, so number of pennies that Dani will get would be \frac{9}{49}x\cdot \frac{3}{7}=\frac{27}{343}x.

We are also told that Dani received 216 pennies. Now, we will equate 216 to \frac{27}{343}x and solve for x as shown below:

\frac{27x}{343}=216

\frac{27x}{343}*343=216*343

27x=74088

\frac{27x}{27}=\frac{74088}{27}

x=2744

Therefore, Al have 2744 pennies initially.

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