Charlie, Sam, Seth and Nick went shopping with a total of $738. After shopping, they had a total of $20 left. Sam spent $10. The amount Seth spent was ⁴₇ the amount spent by Charlie. The total amount spent by Charlie and Sam was $376 less than the total amount spent by Seth and Nick. How much did Charlie and Nick spend altogether?

	Charlie	Sam	Seth	Nick	Total
Before					$738
Change	- 7 u	- $10	- 4 u	- ?	- $718
After					$20

Total amount that Charlie, Sam, Seth and Nick spent
= 738 - 20
= $718

Total amount that Charlie and Sam spent
= 7 u + 10

Total amount that Seth and Nick spent
= 7 u + 10 + 376
= 7 u + 386 

Total amount that Charlie, Sam, Seth and Nick spent
= 7 u + 10 + 7 u + 386
= 14 u + 396 

14 u + 396 = 718
14 u = 718 - 396
14 u = 322 

1 u = 322 ÷ 14 = 23

Total amount that Sam and Seth spent
= 4 u + 10
= 4 x 23 + 10
= 92 + 10
= $102

Total amount that Charlie and Nick spent
= 718 - 102
= $616

Answer(s): $616