Dana, Nora, Fanny and Hazel jointly contributed to the cost of a present for their sister. Dana's contribution is ²₃ of the total contribution made by the four girls. The ratio of Hazel's contribution to the total of Nora's and Fanny's contribution is 3 : 2. What is the total contribution by the four girls if Nora's contribution is ²₃ of Fanny's contribution and the total amount contributed by Dana and Hazel is $1300?

Dana	Nora	Fanny	Hazel	Total
2x25	1x25			3x25
	2x5		3x5
	2x2	3x2
50 u	4 u	6 u	15 u	75 u

Working backwards.

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

Total amount that Nora, Fanny and Hazel had is the next combined repeated identity.
LCM of 1 and 25 = 25 

Total amount contributed by Dana and Hazel
= 50 u + 15 u
= 65 u

65 u = 1300

2 u = 1300 ÷ 65 = $20

Total contribution by the four girls
= 75 u
= 75 x 20
= $1500

Answer(s): $1500