Tina, Lucy, Sabrina and Shiyun jointly contributed to the cost of a present for their colleague. Tina's contribution is ²₅ of the total contribution made by the four girls. The ratio of Shiyun's contribution to the total of Lucy's and Sabrina's contribution is 5 : 1. What is the total contribution by the four girls if Lucy's contribution is ¹₇ of Sabrina's contribution and the total amount contributed by Tina and Shiyun is $144?

Tina	Lucy	Sabrina	Shiyun	Total
2x16	3x16			5x16
	1x8		5x8
	1x1	7x1
32 u	1 u	7 u	40 u	80 u

Working backwards.

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

Total amount that Lucy, Sabrina and Shiyun had is the next combined repeated identity.
LCM of 3 and 16 = 48 

Total amount contributed by Tina and Shiyun
= 32 u + 40 u
= 72 u

72 u = 144

1 u = 144 ÷ 72 = $2

Total contribution by the four girls
= 80 u
= 80 x 2
= $160

Answer(s): $160