Xavier and George went shopping with a total amount of $210. They had $180 left after shopping. Xavier's remaining money was 5 times the amount he paid for. George's remaining money was 7 times the amount he had spent.

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

	Xavier	George	Total
Before	6 u	8 p	210
Change	- 1 u	- 1 p	- 30
After	5 u	7 p	180

(a)
Amount that Xavier and George spent
= 210 - 180
= $30

Amount that Xavier and George spent
= 1 u + 1 p

1 u + 1 p = 30
1 u = 30 - 1 p --- (1)

Amount that Xavier and George had left
= 5 u + 7 p 

5 u + 7 p = 180
5 u = 180 - 7 p --- (2)

Make u the same.

(1) _{x 5}
5 u = 150 - 5 p --- (3)

(3) = (2)
150 - 5 p = 180 - 7 p 
7 p - 5 p = 180 - 150

2 p = 30

1 p = 30 ÷ 2 = 15

Amount that George spent = $15

(b)
Amount that George brought along
= 8 p
= 8 x 15
= $120

Answer(s): (a) $15; (b) $120