Jean, Anna, Abi and Hazel jointly contributed to the cost of a present for their sister. Jean's contribution is ²₃ of the total contribution made by the four girls. The ratio of Hazel's contribution to the total of Anna's and Abi's contribution is 2 : 1. What is the total contribution by the four girls if Anna's contribution is ²₃ of Abi's contribution and the total amount contributed by Jean and Hazel is $200?

Jean	Anna	Abi	Hazel	Total
2x15	1x15			3x15
	1x5		2x5
	2x1	3x1
30 u	2 u	3 u	10 u	45 u

Working backwards.

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

Total amount that Anna, Abi and Hazel had is the next combined repeated identity.
LCM of 1 and 15 = 15 

Total amount contributed by Jean and Hazel
= 30 u + 10 u
= 40 u

40 u = 200

1 u = 200 ÷ 40 = $5

Total contribution by the four girls
= 45 u
= 45 x 5
= $225

Answer(s): $225