Elyse, Sarah, Nora and Pamela jointly contributed to the cost of a present for their classmate. Elyse's contribution is ⁸₉ of the total contribution made by the four girls. The ratio of Pamela's contribution to the total of Sarah's and Nora's contribution is 5 : 4. What is the total contribution by the four girls if Sarah's contribution is ¹₄ of Nora's contribution and the total amount contributed by Elyse and Pamela is $3080?

Elyse	Sarah	Nora	Pamela	Total
8x45	1x45			9x45
	4x5		5x5
	1x4	4x4
360 u	4 u	16 u	25 u	405 u

Working backwards.

Total amount that Sarah and Nora had is the combined repeated identity.
LCM of 4 and 5 = 20

Total amount that Sarah, Nora and Pamela had is the next combined repeated identity.
LCM of 1 and 45 = 45 

Total amount contributed by Elyse and Pamela
= 360 u + 25 u
= 385 u

385 u = 3080

4 u = 3080 ÷ 385 = $8

Total contribution by the four girls
= 405 u
= 405 x 8
= $3240

Answer(s): $3240