SOLUTION: I have a safe and a bank. I have 5 times more in my safe than I have in the bank. I take $225 out my safe and put it in the bank and now I have 8 times more in the bank than I have

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Question 1023763: I have a safe and a bank. I have 5 times more in my safe than I have in the bank. I take $225 out my safe and put it in the bank and now I have 8 times more in the bank than I have in my safe. How much money did I initially have in the bank?
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Let = the amount you initially have in the bank
= the amount you initially have in the safe
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Later the bank has:

and the safe has:

-----------------
And that results in:






----------------
You have $ 51.92 in the bank and
$ 259.62 in the safe, initially
-----------------
check:
Take $225 out of safe, The safe has:

Put the $225 in the bank. The bank has:

----------------------
The bank now has 8 times more than the safe


error due to rounding off, I think

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