Owen, Valen, Liam and Jack went shopping with a total of $748. After shopping, they had a total of $115 left. Valen spent $100. The amount Liam spent was ³₇ the amount spent by Owen. The total amount spent by Owen and Valen was $153 less than the total amount spent by Liam and Jack. How much did Owen and Jack spend altogether?

	Owen	Valen	Liam	Jack	Total
Before					$748
Change	- 7 u	- $100	- 3 u	- ?	- $633
After					$115

Total amount that Owen, Valen, Liam and Jack spent
= 748 - 115
= $633

Total amount that Owen and Valen spent
= 7 u + 100

Total amount that Liam and Jack spent
= 7 u + 100 + 153
= 7 u + 253 

Total amount that Owen, Valen, Liam and Jack spent
= 7 u + 100 + 7 u + 253
= 14 u + 353 

14 u + 353 = 633
14 u = 633 - 353
14 u = 280 

1 u = 280 ÷ 14 = 20

Total amount that Valen and Liam spent
= 3 u + 100
= 3 x 20 + 100
= 60 + 100
= $160

Total amount that Owen and Jack spent
= 633 - 160
= $473

Answer(s): $473