Rael, Asher, Charlie and Seth went shopping with a total of $720. After shopping, they had a total of $32 left. Asher spent $100. The amount Charlie spent was ⁵₇ the amount spent by Rael. The total amount spent by Rael and Asher was $222 less than the total amount spent by Charlie and Seth. How much did Rael and Seth spend altogether?

	Rael	Asher	Charlie	Seth	Total
Before					$720
Change	- 7 u	- $100	- 5 u	- ?	- $688
After					$32

Total amount that Rael, Asher, Charlie and Seth spent
= 720 - 32
= $688

Total amount that Rael and Asher spent
= 7 u + 100

Total amount that Charlie and Seth spent
= 7 u + 100 + 222
= 7 u + 322 

Total amount that Rael, Asher, Charlie and Seth spent
= 7 u + 100 + 7 u + 322
= 14 u + 422 

14 u + 422 = 688
14 u = 688 - 422
14 u = 266 

1 u = 266 ÷ 14 = 19

Total amount that Asher and Charlie spent
= 5 u + 100
= 5 x 19 + 100
= 95 + 100
= $195

Total amount that Rael and Seth spent
= 688 - 195
= $493

Answer(s): $493