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 By: Strawberry (offline)  Sunday, May 06 2012 @ 07:28 AM CDT (Read 1568 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

\$538.......

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Registered: 03/10/12
Posts: 2

 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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Registered: 04/21/11
Posts: 627

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