Kimberly, Emma, Mary and Victoria jointly contributed to the cost of a present for their colleague. Kimberly's contribution is ⁴₅ of the total contribution made by the four girls. The ratio of Victoria's contribution to the total of Emma's and Mary's contribution is 5 : 2. What is the total contribution by the four girls if Emma's contribution is ¹₇ of Mary's contribution and the total amount contributed by Kimberly and Victoria is $1848?

Kimberly	Emma	Mary	Victoria	Total
4x28	1x28			5x28
	2x4		5x4
	1x1	7x1
112 u	1 u	7 u	20 u	140 u

Working backwards.

Total amount that Emma and Mary had is the combined repeated identity.
LCM of 2 and 8 = 8

Total amount that Emma, Mary and Victoria had is the next combined repeated identity.
LCM of 1 and 28 = 28 

Total amount contributed by Kimberly and Victoria
= 112 u + 20 u
= 132 u

132 u = 1848

2 u = 1848 ÷ 132 = $14

Total contribution by the four girls
= 140 u
= 140 x 14
= $1960

Answer(s): $1960