Elijah, Cole, Paul and Glen shared $476. Glen received ²₅ of the total amount of money received by Elijah, Cole and Paul. Elijah received ¹₃ of the total amount for Cole and Paul. Cole received ²₃ as much money as Paul. If Paul gave all his money to Glen, how much did Glen have more than Cole in the end?

Elijah	Cole	Paul	Glen	Total
5x4			2x4	7x4
1x5	3x5
	2x3	3x3
5 u	6 u	9 u	8 u	28 u

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

The total amount that Elijah, Cole and Paul have is repeated.  Make the total amount of Elijah, Cole and Paul the same. LCM of 20 and 5 is 20.

Total amount that Elijah, Cole, Paul and Glen shared = 28 u

28 u = 476

1 u = 476 ÷ 28 = 17

	Elijah	Cole	Paul	Glen
Before	5 u	6 u	9 u	8 u
Change			- 9 u	+ 9 u
After	5 u	6 u	0 u	17 u

Amount that Glen had if Paul gave him all his money
= 8 u + 9 u
= 17 u

Amount that Glen had more than Cole
= 17 u - 6 u
= 11 u
= 11 x 17
= $187

Answer(s): $187