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 Q18 of Nanyang CA2 2009, Paper 2
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By: layhongong (offline)  Monday, August 22 2011 @ 03:50 AM CDT (Read 1005 times)  


Wondering if someone can help to answer this question :

Kailing and Jim had a total of $63. Kailing gave 0.3 of her share to Jim. Jim then gave 1/3 of the total amount of money he had to his brother, In the end, all the three children had the same amount of money. How much money did Kailing have at first?


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By: emwong (offline)  Monday, August 22 2011 @ 08:40 AM CDT  

Let me attempt to explain.

As Kailing has given 0.3 of her share to Jim, she is left with 0.7. Translate this 0.7 into 7U.

All the 3 children has 7U each in the end; totaling 21U

After receiving the money from Kailing, Jim gave 1/3 to his brother. Jim is left with 2/3 which is 7U, hence 1/3 of Jim's money is 3.5U.

Now, since the bro received 3.5U from Jim, he would have 3.5U at first (remember he has 7U in the end)

No. of units Kailing and Jim have at first
21U - 3.5U = 17.5U

17.5U -> 63
1U -> 3.6

Kailing has 10U at first, hence she has $36.

Hope this solution make sense.

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