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) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = the amount you initially have in the bank
+5x+ = the amount you initially have in the safe
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Later the bank has:
+x+%2B+225+
and the safe has:
+5x+-+225+
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And that results in:
+x+%2B+225+=+8%2A%28+5x+-+225+%29+
+x+=+-8%2A225+-+225+%2B+40x+
+39x+=+9%2A225+
+x+=+2025+%2F+39+
+x+=+51.923+
+5x+=+259.615+
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You have $ 51.92 in the bank and
$ 259.62 in the safe, initially
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check:
Take $225 out of safe, The safe has:
+259.62+-+225+=+34.62+
Put the $225 in the bank. The bank has:
+51.92+%2B225+=+276.92+
----------------------
The bank now has 8 times more than the safe
+276.92+=+8%2A34.62+
+276.92+=+276.96+
error due to rounding off, I think