Albert, Tim, John and Owen shared $468. Owen received ⁴₅ of the total amount of money received by Albert, Tim and John. Albert received ¹₃ of the total amount for Tim and John. Tim received ²₃ as much money as John. If Tim gave all his money to Owen, how much did Owen have more than Albert in the end?

Albert	Tim	John	Owen	Total
5x4			4x4	9x4
1x5	3x5
	2x3	3x3
5 u	6 u	9 u	16 u	36 u

The total amount that Tim and John have is repeated.  Make the total amount of Tim and John the same.  LCM of 5 and 3 is 15.

The total amount that Albert, Tim and John have is repeated.  Make the total amount of Albert, Tim and John the same. LCM of 20 and 5 is 20.

Total amount that Albert, Tim, John and Owen shared = 36 u

36 u = 468

1 u = 468 ÷ 36 = 13

	Albert	Tim	John	Owen
Before	5 u	6 u	9 u	16 u
Change		- 6 u		+ 6 u
After	5 u	0 u	9 u	22 u

Amount that Owen had if Tim gave him all his money
= 16 u + 6 u
= 22 u

Amount that Owen had more than Albert
= 22 u - 5 u
= 17 u
= 17 x 13
= $221

Answer(s): $221