Liam and Charlie went shopping with a total amount of $319. They had $261 left after shopping. Liam's remaining money was 3 times the amount he paid for. Charlie's remaining money was 6 times the amount he had spent.

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

	Liam	Charlie	Total
Before	4 u	7 p	319
Change	- 1 u	- 1 p	- 58
After	3 u	6 p	261

(a)
Amount that Liam and Charlie spent
= 319 - 261
= $58

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

1 u + 1 p = 58
1 u = 58 - 1 p --- (1)

Amount that Liam and Charlie had left
= 3 u + 6 p 

3 u + 6 p = 261
3 u = 261 - 6 p --- (2)

Make u the same.

(1) _{x 3}
3 u = 174 - 3 p --- (3)

(3) = (2)
174 - 3 p = 261 - 6 p 
6 p - 3 p = 261 - 174

3 p = 87

1 p = 87 ÷ 3 = 29

Amount that Charlie spent = $29

(b)
Amount that Charlie brought along
= 7 p
= 7 x 29
= $203

Answer(s): (a) $29; (b) $203