
By: sonialam04 (offline) Thursday, August 19 2010 @ 07:49 PM CDT (Read 1501 times)



sonialam04 
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 the money to his brother . In the end, all the 3 children had the same amount of money. How much money did Kailing have at first?

Newbie
Registered: 12/31/06 Posts: 1





By: lemofish (offline) Saturday, August 21 2010 @ 04:51 AM CDT



lemofish 
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 the money to his brother . In the end, all the 3 children had the same amount of money. How much money did Kailing have at first?
Before:
Kailing=1U
Jim=1P
After:
Kailing=0.7U
Jim=2/3(1P+0.3U)=2/3P+0.2U
1U+1P=63
P=63U...(1)
0.7U=2/3P+0.2U...(2)
0.7U=2/3(63U)+0.6U
2.1U=1262U+0.6U
3.5U=126
U=36
Therefore, kailing has $36 at first.

Newbie
Registered: 07/29/10 Posts: 9





By: nisalam (offline) Wednesday, August 25 2010 @ 07:49 AM CDT



nisalam 
I'm wondering if that is right. K, J and bro all have $21 in the end. K had given away 0.3 of her money. That makes 0.7 of her money = $21. So she had $30 in the beginning, I think.

Junior
Registered: 04/29/10 Posts: 30





By: nisalam (offline) Wednesday, August 25 2010 @ 04:06 PM CDT



nisalam 
Oops, I was wrong .... only the two had $63. Missed that part. Sorry!

Junior
Registered: 04/29/10 Posts: 30





By: jas.soliano (offline) Thursday, August 26 2010 @ 12:55 PM CDT



jas.soliano 
You can draw model to solve this. Primary Maths don't use algebra with two unknowns.
After model
K: I. I. I. I. I. I. I. I.
J: I. I. I. I. I
Jim gave away 1/3 of his money (includes 1/3 of the 3u given by K).
Therefore he had 2u from K + 2/3 of his own left.
From the model we know that 5u of K = 2u of J
Common multiple is 10, hence we cut 2u of J into 10 and 5u of K into 10.
K and J has 28u altogether now.
J gave away 1u of K and 1u of his own. That makes 2 + 5 = 7u
28 + 7 = 35
35u > 63
1u > 1.8
K has 20u at first before giving away 0.3, hence 20u > 1.8 x 20 = 36

Newbie
Registered: 08/16/09 Posts: 6





By: jas.soliano (offline) Thursday, August 26 2010 @ 12:57 PM CDT



jas.soliano 
Sorry my line model did not display well
Should be
K I.....I.....I.....I.....I.....I.....I.....I
J I.....I.....I..............I..............I

Newbie
Registered: 08/16/09 Posts: 6



