Henry, Ryan, Bryan and Jeremy shared $1122. Jeremy received ⁵₆ of the total amount of money received by Henry, Ryan and Bryan. Henry received ⁴₅ of the total amount for Ryan and Bryan. Ryan received ¹₃ as much money as Bryan. If Bryan gave all his money to Jeremy, how much did Jeremy have more than Ryan in the end?

Henry	Ryan	Bryan	Jeremy	Total
6x6			5x6	11x6
4x4	5x4
	1x5	3x5
16 u	5 u	15 u	30 u	66 u

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

The total amount that Henry, Ryan and Bryan have is repeated.  Make the total amount of Henry, Ryan and Bryan the same. LCM of 36 and 6 is 36.

Total amount that Henry, Ryan, Bryan and Jeremy shared = 66 u

66 u = 1122

1 u = 1122 ÷ 66 = 17

	Henry	Ryan	Bryan	Jeremy
Before	16 u	5 u	15 u	30 u
Change			- 15 u	+ 15 u
After	16 u	5 u	0 u	45 u

Amount that Jeremy had if Bryan gave him all his money
= 30 u + 15 u
= 45 u

Amount that Jeremy had more than Ryan
= 45 u - 5 u
= 40 u
= 40 x 17
= $680

Answer(s): $680