Gabriel, Sean, Luke and Jeremy shared $252. Jeremy received ¹₆ of the total amount of money received by Gabriel, Sean and Luke. Gabriel received ⁴₅ of the total amount for Sean and Luke. Sean received ¹₃ as much money as Luke. If Sean gave all his money to Jeremy, how much did Jeremy have more than Gabriel in the end?

Gabriel	Sean	Luke	Jeremy	Total
6x6			1x6	7x6
4x4	5x4
	1x5	3x5
16 u	5 u	15 u	6 u	42 u

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

The total amount that Gabriel, Sean and Luke have is repeated.  Make the total amount of Gabriel, Sean and Luke the same. LCM of 36 and 6 is 36.

Total amount that Gabriel, Sean, Luke and Jeremy shared = 42 u

42 u = 252

1 u = 252 ÷ 42 = 6

	Gabriel	Sean	Luke	Jeremy
Before	16 u	5 u	15 u	6 u
Change		- 5 u		+ 5 u
After	16 u	0 u	15 u	11 u

Amount that Jeremy had if Sean gave him all his money
= 6 u + 5 u
= 11 u

Amount that Jeremy had more than Gabriel
= 11 u - 16 u
= -5 u
= -5 x 6
= $-30

Answer(s): $-30