when $40.00 is spent from 3/5 of peters money half his money is left. how much did he have at first?
To solve this problem, let's break it down step by step.
1. Let's assume Peter's initial amount of money as 'x'.
2. According to the given information, when $40.00 is spent, 3/5 of Peter's money is left. This means that after spending $40.00, 2/5 of his money remains.
3. Half of Peter's money is left after spending the $40.00, which means 1/2 of the remaining 2/5 of his money is left.
4. To find the amount of money Peter had at first, we need to solve for 'x' in the equation (1/2) * (2/5) * x = x.
5. Simplifying the equation, we have (1/2) * (2/5) * x = 1 * x, which further simplifies to (1/5) * x = x.
6. We can eliminate the fraction by multiplying both sides of the equation by 5, giving us x = 5 * x.
7. Subtracting 'x' from both sides of the equation, we get 0 = 4 * x.
8. Dividing both sides of the equation by 4, we have 0/4 = x.
9. Thus, Peter initially had $0.
Therefore, considering the given information, it seems Peter did not have any money initially, or it might be a logical inconsistency in the problem.