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Question 1180063: In the last two times around the game board, Wendell thought he was a goner. First, he had to pay ½ of his money in rent to somebody. He then had to pay $25 because of a “Chance” card. After that, he landed on another property where he had to pay 3/5 of his remaining money in rent. Fortunately, on his next turn he passed “Go” and collected $200. However, he landed on a property that wacked him for ½ of his money. Next, he got a “Chance” card and landed in jail. After he paid $50 to get out, the poor guy only had $70 cash left - no property, no nothing. How much money did he have at the beginning of this narrative?
Answer by CPhill(1959) (Show Source):
You can put this solution on YOUR website! Here's how to solve this problem by working backward:
1. **Jail:** Before paying $50 to get out of jail, Wendell had $70 + $50 = $120.
2. **Half Money Rent:** Before losing half his money to rent, he had $120 * 2 = $240.
3. **Passed Go:** Before collecting $200, he had $240 - $200 = $40.
4. **3/5 Rent:** Before paying 3/5 of his money in rent, he had $40 / (1 - 3/5) = $40 / (2/5) = $100.
5. **Chance Card:** Before paying $25, he had $100 + $25 = $125.
6. **Half Money Rent:** Before losing half his money to rent, he had $125 * 2 = $250.
**Answer:** Wendell had $250 at the beginning of the narrative.
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