Cathy, Jean, Anna and Xylia jointly contributed to the cost of a present for their classmate. Cathy's contribution is ³₄ of the total contribution made by the four girls. The ratio of Xylia's contribution to the total of Jean's and Anna's contribution is 3 : 2. What is the total contribution by the four girls if Jean's contribution is ¹₄ of Anna's contribution and the total amount contributed by Cathy and Xylia is $1260?

Cathy	Jean	Anna	Xylia	Total
3x25	1x25			4x25
	2x5		3x5
	1x2	4x2
75 u	2 u	8 u	15 u	100 u

Working backwards.

Total amount that Jean and Anna had is the combined repeated identity.
LCM of 2 and 5 = 10

Total amount that Jean, Anna and Xylia had is the next combined repeated identity.
LCM of 1 and 25 = 25 

Total amount contributed by Cathy and Xylia
= 75 u + 15 u
= 90 u

90 u = 1260

2 u = 1260 ÷ 90 = $14

Total contribution by the four girls
= 100 u
= 100 x 14
= $1400

Answer(s): $1400