Marion, Min, Shannon and Pamela jointly contributed to the cost of a present for their sister. Marion's contribution is ¹₄ of the total contribution made by the four girls. The ratio of Pamela's contribution to the total of Min's and Shannon's contribution is 2 : 1. What is the total contribution by the four girls if Min's contribution is ¹₇ of Shannon's contribution and the total amount contributed by Marion and Pamela is $168?

Marion	Min	Shannon	Pamela	Total
1x8	3x8			4x8
	1x8		2x8
	1x1	7x1
8 u	1 u	7 u	16 u	32 u

Working backwards.

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

Total amount that Min, Shannon and Pamela had is the next combined repeated identity.
LCM of 3 and 8 = 24 

Total amount contributed by Marion and Pamela
= 8 u + 16 u
= 24 u

24 u = 168

1 u = 168 ÷ 24 = $7

Total contribution by the four girls
= 32 u
= 32 x 7
= $224

Answer(s): $224