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Absent-minded
Answer
:
$100
AI says
Let's denote the initial amount of money in the man's wallet as X.
1. In the first step, he spends one fifth of the money, which is (1/5) x X.
After this, he has 4/5 of the money remaining, which is (4/5) x X.
2. In the second step, he spends one fifth of what remains, which is (1/5) x (4/5) x X.
After this, he has 4/5 of the remaining amount left, which is (4/5) x (4/5) x X.
The total amount spent is the sum of these two amounts, and it is given as $36.00:
(1/5) x X + (1/5) x (4/5) x X = 36
Now, solve for X:
(1/5) x X + (4/25) x X = 36
Combine the terms:
(5/25) x X + (4/25) x X = 36
(9/25) x X = 36
Now, solve for X:
X = 36 x (25/9)
X = 100
So, the man initially had $100 in his wallet. |
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