Jack and Charlie went shopping with a total amount of $400. They had $320 left after shopping. Jack's remaining money was 3 times the amount he paid for. Charlie's remaining money was 5 times the amount he had spent.

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

	Jack	Charlie	Total
Before	4 u	6 p	400
Change	- 1 u	- 1 p	- 80
After	3 u	5 p	320

(a)
Amount that Jack and Charlie spent
= 400 - 320
= $80

Amount that Jack and Charlie spent
= 1 u + 1 p

1 u + 1 p = 80
1 u = 80 - 1 p --- (1)

Amount that Jack and Charlie had left
= 3 u + 5 p 

3 u + 5 p = 320
3 u = 320 - 5 p --- (2)

Make u the same.

(1) _{x 3}
3 u = 240 - 3 p --- (3)

(3) = (2)
240 - 3 p = 320 - 5 p 
5 p - 3 p = 320 - 240

2 p = 80

1 p = 80 ÷ 2 = 40

Amount that Charlie spent = $40

(b)
Amount that Charlie brought along
= 6 p
= 6 x 40
= $240

Answer(s): (a) $40; (b) $240