Barker Stewart
08/14/2024 · Senior High School
DILEMMA 2 Would you rather become \( 50 \% \) poorer and then \( 50 \% \) richer or becom \( 50 \% \) richer and then \( 50 \% \) poorer?
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To solve this problem, let's consider a hypothetical amount of money to make the calculations easier. Let's say you start with $100.
1. **Becoming 50% poorer and then 50% richer:**
- First, you become 50% poorer: $100 * 0.50 = $50
- Now you have $50 left.
- Then, you become 50% richer on the new amount: $50 * 0.50 = $25
- Add this to the $50 you have left: $50 + $25 = $75
2. **Becoming 50% richer and then 50% poorer:**
- First, you become 50% richer: $100 * 0.50 = $50
- Now you have $150.
- Then, you become 50% poorer on the new amount: $150 * 0.50 = $75
- Subtract this from the $150 you have: $150 - $75 = $75
In both scenarios, you end up with $75. Therefore, there is no difference in the final amount of money you have after becoming 50% poorer and then 50% richer versus becoming 50% richer and then 50% poorer. The order of the percentage changes does not affect the final outcome.
Quick Answer
In both scenarios, you end up with $75, so there is no difference in the final amount of money.
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