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 By: shirley wee (offline)  Friday, November 02 2012 @ 09:50 AM CDT (Read 794 times)
shirley wee

Hi everyone! I am stuck with this maths question. May you help me? Please show your workings clearly.

Qn1. Leon, James, Paul and Gary shared \$4900. Paul received 3 times as much as Gary received. James received 2/3 of the total amount of money that Paul and Gary received. Leon received 1/4 of the total amount of money that Paul, Gary and James received. How much more money did Paul received than Leon?

Thank you for you help.

Chatty

Registered: 02/28/12
Posts: 68

 By: echeewh (offline)  Friday, November 02 2012 @ 10:42 PM CDT
echeewh

Hi shirley,

Following pls find my worked solution :

P : G
3 : 1 -- (1)

J : (P+G)
2 : 3 -- (2)

L : (P+G+J)
1 : 4 -- (3)

Apply <restating problem> method, and comparing (1),(2), multiply (1) 3x; (2) 4x. And we have ...

P : G
9 : 3 -- (4)

J : (P+G)
8 : 12 -- (5)

Now, comparing (5),(3), multiply (3) 5x. We have ....

L : (P+G+J)
5 : 20 -- (6)

Given Leon (L), James (J), Paul (P) and Gary (G) shared \$4900, we have ...

25u --> 4900
1u --> 196

P - L = 9u - 5u = 4u
4u --> 4 x 196 = \$784

==============

Trust the above helps.

Do let me know again if this is different from your Answerkey or if theres further clarification.

Cheers,
Edward

Active Member

Registered: 04/21/11
Posts: 627

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