andrewmc

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This is quite interesting so here is my answer: octordle unlimited

 

Let's denote:

A = the amount of money Alice currently has. B = the amount of money Bob currently has.

Given in the problem:

If Alice receives n dollars from Bob, she will have 4 times as much money as Bob. This means A + n = 4(B - n). If Alice gives n dollars to Bob, she will have 8 times as much money as Bob. This means A - n = 8(B + n).

Now we have two equations, and we can solve for n in terms of A and B:

n = (A - 4B) / 5

n = (A - 8B) / -7

Since both expressions equal n, we can equate and solve for the ratio of A to B:

(A - 4B) / 5 = (A - 8B) / -7

Solving this equation gives us:

-7A + 28B = 5A - 40B 12A = 68B A/B = 68/12 = 17/3

So, the ratio of the amount of money Alice has to the amount Bob has is 17:3.

Jul 14, 2023