Riordan, Tom, Carl and Oliver shared $1320. Oliver received ⁵₆ of the total amount of money received by Riordan, Tom and Carl. Riordan received ⁴₅ of the total amount for Tom and Carl. Tom received ¹₃ as much money as Carl. If Tom gave all his money to Oliver, how much did Oliver have more than Riordan in the end?

Riordan	Tom	Carl	Oliver	Total
6x6			5x6	11x6
4x4	5x4
	1x5	3x5
16 u	5 u	15 u	30 u	66 u

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

The total amount that Riordan, Tom and Carl have is repeated.  Make the total amount of Riordan, Tom and Carl the same. LCM of 36 and 6 is 36.

Total amount that Riordan, Tom, Carl and Oliver shared = 66 u

66 u = 1320

1 u = 1320 ÷ 66 = 20

	Riordan	Tom	Carl	Oliver
Before	16 u	5 u	15 u	30 u
Change		- 5 u		+ 5 u
After	16 u	0 u	15 u	35 u

Amount that Oliver had if Tom gave him all his money
= 30 u + 5 u
= 35 u

Amount that Oliver had more than Riordan
= 35 u - 16 u
= 19 u
= 19 x 20
= $380

Answer(s): $380