Topic: Working Backwards The Monopoly Game In the last two times around the boar

Question

Topic: Working Backwards

The Monopoly Game

In the last two times around the board, Wes thought he was a goner. First, he had to pay half 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 three-fifths of his remaining money in rent. Fortunately, on his next turn he passed GO and collected $200. However, he landed on a property that whacked him for half 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 did he have at the beginning of this story?

Please show all work.

Explanation / Answer

Solution:

Let Wendell have $x initially.

after rent
= x - x/2
= x/2

after 1st chance
= x/2 -25

after 1st landing
= (1 - 3/5)(x/2 -25)
= 2(x/2 -25)/5
= x/5 - 10

after go
= x/5 - 10 + 200
= x/5 + 190

after 2nd landing
= (1 - 1/2)(x/5 + 190)
= x/10 + 95

after jail bail
= x/10 + 95 - 50
= x/10 + 45
= 70

x/10 = 70 - 45 = 25
x = 10*25 = 250

initial money = $250

Answer

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