Answer:
24,167 pennies
Explanation:
Let's see what happens if we say Al had 1000 pennies.
Bev would get 6/13 of 1000 which is 462 pennies. ((6/13)*1000)
Continuing like this Carl would get (6/13)*462 = 213
Dani would get 213(6/13)=98
Now, another way of writing this is 1000*(6/13)*(6/13)*(6/13). hopefully that makes sense, if not let me know.
Anyway, what is another way of writing this? If it isn't clear how else can you write 3*3*3*3? Exponents is the answer. 3*3*3*3=3^4 and (6/13)*(6/13)*(6/13)= (6/13)^3, so you can write the whole equation as 1000(6/13)^3=98
Now, using the information given in the question we know how much is gotten by Dani as well as (6/13)^3, but we don't know how much we start with. So instead of 1,000 like I showed lets use a variable x.
x*(6/13)^3 = 2376
Now you can use algebra to solve for x
x*(6/13)^3 = 2376 step one let's just figure out what (6/13)^3 is.
x*(216/2197) = 2376 Now here you can either divide by 216/2197 or multiply by 2197 then divide by 216, it's the same thing.
x = 24167
You can double check too with 24167*(6/13)^3