Xavier, Justin, Cody and Fred went shopping with a total of $567. After shopping, they had a total of $30 left. Justin spent $70. The amount Cody spent was ³₇ the amount spent by Xavier. The total amount spent by Xavier and Justin was $257 less than the total amount spent by Cody and Fred. How much did Xavier and Fred spend altogether?

	Xavier	Justin	Cody	Fred	Total
Before					$567
Change	- 7 u	- $70	- 3 u	- ?	- $537
After					$30

Total amount that Xavier, Justin, Cody and Fred spent
= 567 - 30
= $537

Total amount that Xavier and Justin spent
= 7 u + 70

Total amount that Cody and Fred spent
= 7 u + 70 + 257
= 7 u + 327 

Total amount that Xavier, Justin, Cody and Fred spent
= 7 u + 70 + 7 u + 327
= 14 u + 397 

14 u + 397 = 537
14 u = 537 - 397
14 u = 140 

1 u = 140 ÷ 14 = 10

Total amount that Justin and Cody spent
= 3 u + 70
= 3 x 10 + 70
= 30 + 70
= $100

Total amount that Xavier and Fred spent
= 537 - 100
= $437

Answer(s): $437