Ian, Julian, Oliver and Ken shared $132. Ken received ⁵₆ of the total amount of money received by Ian, Julian and Oliver. Ian received ⁴₅ of the total amount for Julian and Oliver. Julian received ¹₃ as much money as Oliver. If Oliver gave all his money to Ken, how much did Ken have more than Julian in the end?

Ian	Julian	Oliver	Ken	Total
6x6			5x6	11x6
4x4	5x4
	1x5	3x5
16 u	5 u	15 u	30 u	66 u

The total amount that Julian and Oliver have is repeated.  Make the total amount of Julian and Oliver the same.  LCM of 4 and 5 is 20.

The total amount that Ian, Julian and Oliver have is repeated.  Make the total amount of Ian, Julian and Oliver the same. LCM of 36 and 6 is 36.

Total amount that Ian, Julian, Oliver and Ken shared = 66 u

66 u = 132

1 u = 132 ÷ 66 = 2

	Ian	Julian	Oliver	Ken
Before	16 u	5 u	15 u	30 u
Change			- 15 u	+ 15 u
After	16 u	5 u	0 u	45 u

Amount that Ken had if Oliver gave him all his money
= 30 u + 15 u
= 45 u

Amount that Ken had more than Julian
= 45 u - 5 u
= 40 u
= 40 x 2
= $80

Answer(s): $80