Riordan, Oliver, Jenson and Pierre shared $140. Pierre received ³₄ of the total amount of money received by Riordan, Oliver and Jenson. Riordan received ²₃ of the total amount for Oliver and Jenson. Oliver received ¹₃ as much money as Jenson. If Oliver gave all his money to Pierre, how much did Pierre have more than Riordan in the end?

Riordan	Oliver	Jenson	Pierre	Total
4x5			3x5	7x5
2x4	3x4
	1x3	3x3
8 u	3 u	9 u	15 u	35 u

The total amount that Oliver and Jenson have is repeated.  Make the total amount of Oliver and Jenson the same.  LCM of 4 and 3 is 12.

The total amount that Riordan, Oliver and Jenson have is repeated.  Make the total amount of Riordan, Oliver and Jenson the same. LCM of 20 and 4 is 20.

Total amount that Riordan, Oliver, Jenson and Pierre shared = 35 u

35 u = 140

1 u = 140 ÷ 35 = 4

	Riordan	Oliver	Jenson	Pierre
Before	8 u	3 u	9 u	15 u
Change		- 3 u		+ 3 u
After	8 u	0 u	9 u	18 u

Amount that Pierre had if Oliver gave him all his money
= 15 u + 3 u
= 18 u

Amount that Pierre had more than Riordan
= 18 u - 8 u
= 10 u
= 10 x 4
= $40

Answer(s): $40