Brandon and Glen went shopping with a total amount of $140. They had $120 left after shopping. Brandon's remaining money was 5 times the amount he paid for. Glen's remaining money was 7 times the amount he had spent.

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

	Brandon	Glen	Total
Before	6 u	8 p	140
Change	- 1 u	- 1 p	- 20
After	5 u	7 p	120

(a)
Amount that Brandon and Glen spent
= 140 - 120
= $20

Amount that Brandon and Glen spent
= 1 u + 1 p

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

Amount that Brandon and Glen had left
= 5 u + 7 p 

5 u + 7 p = 120
5 u = 120 - 7 p --- (2)

Make u the same.

(1) _{x 5}
5 u = 100 - 5 p --- (3)

(3) = (2)
100 - 5 p = 120 - 7 p 
7 p - 5 p = 120 - 100

2 p = 20

1 p = 20 ÷ 2 = 10

Amount that Glen spent = $10

(b)
Amount that Glen brought along
= 8 p
= 8 x 10
= $80

Answer(s): (a) $10; (b) $80