
By: Strawberry (offline) Sunday, May 06 2012 @ 07:28 AM CDT (Read 1516 times)



Strawberry 
At first, Ravi had $200 more than Vincent. He gave 40% of his money to Vincent. Vincent then gave 25% of his money to Ravi, In the end, Vincent had $68 more than Ravi. How much did Vincent give Ravi?

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Registered: 01/31/09 Posts: 83





By: Daniel Lee (offline) Sunday, May 06 2012 @ 10:21 AM CDT



Daniel Lee 

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By: Strawberry (offline) Sunday, May 06 2012 @ 11:13 PM CDT



Strawberry 
how you solve the question?

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Registered: 01/31/09 Posts: 83





By: echeewh (offline) Tuesday, May 08 2012 @ 12:49 AM CDT



echeewh 
hey strawberry,
Heres the worked solution for you ..
<Before>
R  V = 200
Using model concept, we have...
R <200>
V 
<Process 1>
R gave 40% ( 2/5 ) to V.
Translating the <Before> model, we have...
R: 5p + 200
V: 5p
Given R gave 2/5 of his money to V, we have ...
( 2/5 ) x ( 5p + 200 ) = 2p + 80
Now ...
R: 5p + 200  2p  80 = 3p + 120
V: 5p + 2p + 80 = 7p + 80
<Process 2>
V gave 25% ( 1/4 ) to R.
( 1/4 ) x ( 7p + 80 ) = 7/4 p + 20
R: 3p + 120 + 7/4 p + 20 = 19/4 p + 140
V: 7p + 80  7/4 p  20 = 21/4 p + 60
<After>
V  R = 68
So we have ...
21/4 p + 60  19/4 p  140 = 68
2/4 p > 68  60 + 140 = 148
1p > 148 x 4 / 2 = 296
V gave away = 7/4 p + 20 = (( 7/4 ) x 296 ) + 20 = 518 + 20 = $538
===================================================
Trust this helps u ...
Btw, do u know if this is a 5m or 4m question? ( my tots are this is a 5m question! ). Many thanks.
Cheers,
Edward

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