Zeph, Perry, Tommy and Caden went shopping with a total of $725. After shopping, they had a total of $157 left. Perry spent $80. The amount Tommy spent was ²₃ the amount spent by Zeph. The total amount spent by Zeph and Perry was $270 less than the total amount spent by Tommy and Caden. How much did Zeph and Caden spend altogether?

	Zeph	Perry	Tommy	Caden	Total
Before					$725
Change	- 3 u	- $80	- 2 u	- ?	- $568
After					$157

Total amount that Zeph, Perry, Tommy and Caden spent
= 725 - 157
= $568

Total amount that Zeph and Perry spent
= 3 u + 80

Total amount that Tommy and Caden spent
= 3 u + 80 + 270
= 3 u + 350 

Total amount that Zeph, Perry, Tommy and Caden spent
= 3 u + 80 + 3 u + 350
= 6 u + 430 

6 u + 430 = 568
6 u = 568 - 430
6 u = 138 

1 u = 138 ÷ 6 = 23

Total amount that Perry and Tommy spent
= 2 u + 80
= 2 x 23 + 80
= 46 + 80
= $126

Total amount that Zeph and Caden spent
= 568 - 126
= $442

Answer(s): $442