In the last two times around the game board, Wendell thought he was a goner. Fir

Question

In the last two times around the game board, Wendell thought he was a goner. First, he had to pay 1/2 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 whacked him for 1/2 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 in cash left -- no property, no nothing. How much money did he have at the beginning of this narrative?

Explanation / Answer

let he have $x at the time of begining
he had to pay 1/2 of his money in rent to somebody after rent = x - x/2
= x/2
then had to pay $25 because of a "Chance" card after chance he had = x/2 -25
After that, he landed on another property where he had to pay 3/5 of his remaining money in rent. after landing he had = (1 - 3/5)(x/2 -25)
= 2(x/2 -25)/5
= x/5 - 10
on his next turn he passed "Go" and collected $200. after Go he had
= x/5 - 10 + 200
= x/5 + 190
he landed on a property that whacked him for 1/2 of his money.after landing he had money
= (1 - 1/2)(x/5 + 190)
= x/10 + 95
Next, he got a "Chance" card and landed in jail. after jail bail he left with money
= x/10 + 95 - 50
= x/10 + 45

given the money he left was $70

x/10+45=70
x/10 = 70 - 45 = 25
x = 10*25 = 250
he had $250 money at the time of begining

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