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

Luis	Fabian	John	Daniel	Total
6x6			1x6	7x6
4x4	5x4
	1x5	3x5
16 u	5 u	15 u	6 u	42 u

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

The total amount that Luis, Fabian and John have is repeated.  Make the total amount of Luis, Fabian and John the same. LCM of 36 and 6 is 36.

Total amount that Luis, Fabian, John and Daniel shared = 42 u

42 u = 252

1 u = 252 ÷ 42 = 6

	Luis	Fabian	John	Daniel
Before	16 u	5 u	15 u	6 u
Change			- 15 u	+ 15 u
After	16 u	5 u	0 u	21 u

Amount that Daniel had if John gave him all his money
= 6 u + 15 u
= 21 u

Amount that Daniel had more than Fabian
= 21 u - 5 u
= 16 u
= 16 x 6
= $96

Answer(s): $96