SOLUTION: Martina went shopping. She spent one-fifth of what she had in her wallet and then one-fifth of what remained. In all she spent $36. How much did she start with?

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Question 998407: Martina went shopping. She spent one-fifth of what she had in her wallet and then one-fifth of what remained. In all she spent $36. How much did she start with?
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
Well, I guessed $100 and plugged it in...lucky, it worked...
but if we call what we start with x, then
(1/5)x + (1/5)(4/5)x = 36 or
(9/25)x = 36
and
x = $100