Asher and Charlie went shopping with a total amount of $110. They had $90 left after shopping. Asher'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?

	Asher	Charlie	Total
Before	4 u	7 p	110
Change	- 1 u	- 1 p	- 20
After	3 u	6 p	90

(a)
Amount that Asher and Charlie spent
= 110 - 90
= $20

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

1 u + 1 p = 20
1 u = 20 - 1 p --- (1)

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

3 u + 6 p = 90
3 u = 90 - 6 p --- (2)

Make u the same.

(1) _{x 3}
3 u = 60 - 3 p --- (3)

(3) = (2)
60 - 3 p = 90 - 6 p 
6 p - 3 p = 90 - 60

3 p = 30

1 p = 30 ÷ 3 = 10

Amount that Charlie spent = $10

(b)
Amount that Charlie brought along
= 7 p
= 7 x 10
= $70

Answer(s): (a) $10; (b) $70