
By: geniuskids (offline) Tuesday, October 16 2012 @ 01:24 AM CDT (Read 1285 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!

Active Member
Registered: 11/12/11 Posts: 169





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



echeewh 
Hey there,
** (NOTE: Reedited 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

Active Member
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 relook yr solution
Thanks for yr help.

Active Member
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 reedited the worked solution above since. All else the method is good.
All the best,
Edward

Active Member
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!

Active Member
Registered: 11/12/11 Posts: 169



