Henry and Archie went shopping with a total amount of $260. They had $208 left after shopping. Henry's remaining money was 3 times the amount he paid for. Archie's remaining money was 5 times the amount he had spent.

1. How much did Archie spend?
2. How much did Archie bring along for shopping?

	Henry	Archie	Total
Before	4 u	6 p	260
Change	- 1 u	- 1 p	- 52
After	3 u	5 p	208

(a)
Amount that Henry and Archie spent
= 260 - 208
= $52

Amount that Henry and Archie spent
= 1 u + 1 p

1 u + 1 p = 52
1 u = 52 - 1 p --- (1)

Amount that Henry and Archie had left
= 3 u + 5 p 

3 u + 5 p = 208
3 u = 208 - 5 p --- (2)

Make u the same.

(1) _{x 3}
3 u = 156 - 3 p --- (3)

(3) = (2)
156 - 3 p = 208 - 5 p 
5 p - 3 p = 208 - 156

2 p = 52

1 p = 52 ÷ 2 = 26

Amount that Archie spent = $26

(b)
Amount that Archie brought along
= 6 p
= 6 x 26
= $156

Answer(s): (a) $26; (b) $156