Wendy, Cindy, Fanny and Xylia jointly contributed to the cost of a present for their brother. Wendy's contribution is ⁴₇ of the total contribution made by the four girls. The ratio of Xylia's contribution to the total of Cindy's and Fanny's contribution is 5 : 1. What is the total contribution by the four girls if Cindy's contribution is ²₇ of Fanny's contribution and the total amount contributed by Wendy and Xylia is $2340?

Wendy	Cindy	Fanny	Xylia	Total
4x18	3x18			7x18
	1x9		5x9
	2x1	7x1
72 u	2 u	7 u	45 u	126 u

Working backwards.

Total amount that Cindy and Fanny had is the combined repeated identity.
LCM of 1 and 9 = 9

Total amount that Cindy, Fanny and Xylia had is the next combined repeated identity.
LCM of 3 and 18 = 54 

Total amount contributed by Wendy and Xylia
= 72 u + 45 u
= 117 u

117 u = 2340

1 u = 2340 ÷ 117 = $20

Total contribution by the four girls
= 126 u
= 126 x 20
= $2520

Answer(s): $2520