Min, Eva, Yen and Lynn jointly contributed to the cost of a present for their schoolmate. Min's contribution is ⁶₇ of the total contribution made by the four girls. The ratio of Lynn's contribution to the total of Eva's and Yen's contribution is 5 : 4. What is the total contribution by the four girls if Eva's contribution is ¹₆ of Yen's contribution and the total amount contributed by Min and Lynn is $3717?

Min	Eva	Yen	Lynn	Total
6x63	1x63			7x63
	4x7		5x7
	1x4	6x4
378 u	4 u	24 u	35 u	441 u

Working backwards.

Total amount that Eva and Yen had is the combined repeated identity.
LCM of 4 and 7 = 28

Total amount that Eva, Yen and Lynn had is the next combined repeated identity.
LCM of 1 and 63 = 63 

Total amount contributed by Min and Lynn
= 378 u + 35 u
= 413 u

413 u = 3717

4 u = 3717 ÷ 413 = $9

Total contribution by the four girls
= 441 u
= 441 x 9
= $3969

Answer(s): $3969