Sean, Julian, Nick and Jeremy shared $75. Jeremy received ²₃ of the total amount of money received by Sean, Julian and Nick. Sean received ¹₄ of the total amount for Julian and Nick. Julian received ¹₂ as much money as Nick. If Nick gave all his money to Jeremy, how much did Jeremy have more than Julian in the end?

Sean	Julian	Nick	Jeremy	Total
3x5			2x5	5x5
1x3	4x3
	1x4	2x4
3 u	4 u	8 u	10 u	25 u

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

The total amount that Sean, Julian and Nick have is repeated.  Make the total amount of Sean, Julian and Nick the same. LCM of 15 and 3 is 15.

Total amount that Sean, Julian, Nick and Jeremy shared = 25 u

25 u = 75

1 u = 75 ÷ 25 = 3

	Sean	Julian	Nick	Jeremy
Before	3 u	4 u	8 u	10 u
Change			- 8 u	+ 8 u
After	3 u	4 u	0 u	18 u

Amount that Jeremy had if Nick gave him all his money
= 10 u + 8 u
= 18 u

Amount that Jeremy had more than Julian
= 18 u - 4 u
= 14 u
= 14 x 3
= $42

Answer(s): $42