Linda, Anna, Nicole and Diana jointly contributed to the cost of a present for their schoolmate. Linda's contribution is ²₅ of the total contribution made by the four girls. The ratio of Diana's contribution to the total of Anna's and Nicole's contribution is 5 : 1. What is the total contribution by the four girls if Anna's contribution is ¹₆ of Nicole's contribution and the total amount contributed by Linda and Diana is $882?

Linda	Anna	Nicole	Diana	Total
2x14	3x14			5x14
	1x7		5x7
	1x1	6x1
28 u	1 u	6 u	35 u	70 u

Working backwards.

Total amount that Anna and Nicole had is the combined repeated identity.
LCM of 1 and 7 = 7

Total amount that Anna, Nicole and Diana had is the next combined repeated identity.
LCM of 3 and 14 = 42 

Total amount contributed by Linda and Diana
= 28 u + 35 u
= 63 u

63 u = 882

1 u = 882 ÷ 63 = $14

Total contribution by the four girls
= 70 u
= 70 x 14
= $980

Answer(s): $980