Jade, Joelle, Jen and Tammy jointly contributed to the cost of a present for their colleague. Jade's contribution is ⁸₉ of the total contribution made by the four girls. The ratio of Tammy's contribution to the total of Joelle's and Jen's contribution is 5 : 3. What is the total contribution by the four girls if Joelle's contribution is ¹₃ of Jen's contribution and the total amount contributed by Jade and Tammy is $4968?

Jade	Joelle	Jen	Tammy	Total
8x32	1x32			9x32
	3x4		5x4
	1x3	3x3
256 u	3 u	9 u	20 u	288 u

Working backwards.

Total amount that Joelle and Jen had is the combined repeated identity.
LCM of 3 and 4 = 12

Total amount that Joelle, Jen and Tammy had is the next combined repeated identity.
LCM of 1 and 32 = 32 

Total amount contributed by Jade and Tammy
= 256 u + 20 u
= 276 u

276 u = 4968

3 u = 4968 ÷ 276 = $18

Total contribution by the four girls
= 288 u
= 288 x 18
= $5184

Answer(s): $5184