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 By: geniuskids (offline)  Tuesday, October 16 2012 @ 01:24 AM CDT (Read 1312 times)
geniuskids

Q11. Johan and Edward had a total of \$360. If Johan gave 2/5 of his share to Edward, and Edward gave Johan 3/7 of the amount of money he had after receiving the money from Johan, each of them would have an equal amount of money. How much money did Edward have at first?

Pls help! Urgent!

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Registered: 11/12/11
Posts: 169

 By: echeewh (offline)  Friday, October 19 2012 @ 12:19 AM CDT
echeewh

Hey there,

** (NOTE: Re-edited 20/10 7.20am)

Following pls find my worked solution:

Use <work Backwards> method,

<After>
Since E gave (3/7) of his money to J to reach this state, E had 4 parts (p) of his money left. Hence, J had the same 4 parts (p) as well.

J |-----|-----|-----|-----| --> 4p
E |-----|-----|-----|-----| --> 4p

<Process>
E: + 3p
J: - 3p

<Before>

J |-----| --> 1p
E |-----|-----|-----|-----|-----|-----|-----| --> 7p

<Process>
J gave (2/5) of his share to reach this state; infers J was left with (3/5). So split this 1p into 3 units (u).
Hence, J --> (1 × 3) = 3u
E --> (7 × 3) = 21u

J: +2u
E: -2u

<Before1>

J: 3u + 2u = 5u
E: 21u - 2u = 19u

Given both J,E had \$360 in total at the start,

J + E = 24u --> 360
1u --> 15

E (at first) = 19u --> 19 × 15 = \$285

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

Trust this helps.

Do let me know if there's further clarification.

Cheers,
Edward

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Registered: 04/21/11
Posts: 623

 By: geniuskids (offline)  Friday, October 19 2012 @ 10:19 AM CDT
geniuskids

Hi Edward,

Thanks for the solution. Apparently the answer is \$285. You may wish to re-look yr solution

Thanks for yr help.

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Registered: 11/12/11
Posts: 169

 By: echeewh (offline)  Friday, October 19 2012 @ 06:29 PM CDT
echeewh

Hey there,

Thanks for pointing that out to me.

My sincere apologies for that mistake I made in the very last number statement as shown here :

E (at first) = 19u --> 19 × 5 = \$95

where 1u --> 15 and not 5.

I have re-edited the worked solution above since. All else the method is good.

All the best,
Edward

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Registered: 04/21/11
Posts: 623

 By: geniuskids (offline)  Friday, October 19 2012 @ 09:15 PM CDT
geniuskids

Yes, managed to get this.Thanks again!

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Registered: 11/12/11
Posts: 169

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