Topic: Working Backwards The Monopoly Game In the last two times around the boar
ID: 3120438 • Letter: T
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