Albert, Zeph, Luis and Cole went shopping with a total of $689. After shopping, they had a total of $103 left. Zeph spent $10. The amount Luis spent was ⁴₅ the amount spent by Albert. The total amount spent by Albert and Zeph was $396 less than the total amount spent by Luis and Cole. How much did Albert and Cole spend altogether?

	Albert	Zeph	Luis	Cole	Total
Before					$689
Change	- 5 u	- $10	- 4 u	- ?	- $586
After					$103

Total amount that Albert, Zeph, Luis and Cole spent
= 689 - 103
= $586

Total amount that Albert and Zeph spent
= 5 u + 10

Total amount that Luis and Cole spent
= 5 u + 10 + 396
= 5 u + 406 

Total amount that Albert, Zeph, Luis and Cole spent
= 5 u + 10 + 5 u + 406
= 10 u + 416 

10 u + 416 = 586
10 u = 586 - 416
10 u = 170 

1 u = 170 ÷ 10 = 17

Total amount that Zeph and Luis spent
= 4 u + 10
= 4 x 17 + 10
= 68 + 10
= $78

Total amount that Albert and Cole spent
= 586 - 78
= $508

Answer(s): $508