Nora, Usha, Lynn and Ivory jointly contributed to the cost of a present for their colleague. Nora's contribution is ³₅ of the total contribution made by the four girls. The ratio of Ivory's contribution to the total of Usha's and Lynn's contribution is 5 : 1. What is the total contribution by the four girls if Usha's contribution is ¹₄ of Lynn's contribution and the total amount contributed by Nora and Ivory is $980?

Nora	Usha	Lynn	Ivory	Total
3x15	2x15			5x15
	1x5		5x5
	1x1	4x1
45 u	1 u	4 u	25 u	75 u

Working backwards.

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

Total amount that Usha, Lynn and Ivory had is the next combined repeated identity.
LCM of 2 and 15 = 30 

Total amount contributed by Nora and Ivory
= 45 u + 25 u
= 70 u

70 u = 980

1 u = 980 ÷ 70 = $14

Total contribution by the four girls
= 75 u
= 75 x 14
= $1050

Answer(s): $1050