Kylie, Abi, Pamela and Xylia jointly contributed to the cost of a present for their colleague. Kylie's contribution is ³₈ of the total contribution made by the four girls. The ratio of Xylia's contribution to the total of Abi's and Pamela's contribution is 4 : 1. What is the total contribution by the four girls if Abi's contribution is ¹₄ of Pamela's contribution and the total amount contributed by Kylie and Xylia is $525?

Kylie	Abi	Pamela	Xylia	Total
3x5	5x5			8x5
	1x5		4x5
	1x1	4x1
15 u	1 u	4 u	20 u	40 u

Working backwards.

Total amount that Abi and Pamela had is the combined repeated identity.
LCM of 1 and 5 = 5

Total amount that Abi, Pamela and Xylia had is the next combined repeated identity.
LCM of 5 and 5 = 25 

Total amount contributed by Kylie and Xylia
= 15 u + 20 u
= 35 u

35 u = 525

1 u = 525 ÷ 35 = $15

Total contribution by the four girls
= 40 u
= 40 x 15
= $600

Answer(s): $600