Roshel, Jean, Kimberly and Xylia jointly contributed to the cost of a present for their schoolmate. Roshel's contribution is ²₃ of the total contribution made by the four girls. The ratio of Xylia's contribution to the total of Jean's and Kimberly's contribution is 2 : 1. What is the total contribution by the four girls if Jean's contribution is ¹₇ of Kimberly's contribution and the total amount contributed by Roshel and Xylia is $576?

Roshel	Jean	Kimberly	Xylia	Total
2x24	1x24			3x24
	1x8		2x8
	1x1	7x1
48 u	1 u	7 u	16 u	72 u

Working backwards.

Total amount that Jean and Kimberly had is the combined repeated identity.
LCM of 1 and 8 = 8

Total amount that Jean, Kimberly and Xylia had is the next combined repeated identity.
LCM of 1 and 24 = 24 

Total amount contributed by Roshel and Xylia
= 48 u + 16 u
= 64 u

64 u = 576

1 u = 576 ÷ 64 = $9

Total contribution by the four girls
= 72 u
= 72 x 9
= $648

Answer(s): $648