Nick, David, Ethan and Neave went shopping with a total of $869. After shopping, they had a total of $86 left. David spent $40. The amount Ethan spent was ⁵₇ the amount spent by Nick. The total amount spent by Nick and David was $521 less than the total amount spent by Ethan and Neave. How much did Nick and Neave spend altogether?

	Nick	David	Ethan	Neave	Total
Before					$869
Change	- 7 u	- $40	- 5 u	- ?	- $783
After					$86

Total amount that Nick, David, Ethan and Neave spent
= 869 - 86
= $783

Total amount that Nick and David spent
= 7 u + 40

Total amount that Ethan and Neave spent
= 7 u + 40 + 521
= 7 u + 561 

Total amount that Nick, David, Ethan and Neave spent
= 7 u + 40 + 7 u + 561
= 14 u + 601 

14 u + 601 = 783
14 u = 783 - 601
14 u = 182 

1 u = 182 ÷ 14 = 13

Total amount that David and Ethan spent
= 5 u + 40
= 5 x 13 + 40
= 65 + 40
= $105

Total amount that Nick and Neave spent
= 783 - 105
= $678

Answer(s): $678