Albert and Xavier went shopping with a total amount of $198. They had $162 left after shopping. Albert's remaining money was 3 times the amount he paid for. Xavier's remaining money was 6 times the amount he had spent.

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

	Albert	Xavier	Total
Before	4 u	7 p	198
Change	- 1 u	- 1 p	- 36
After	3 u	6 p	162

(a)
Amount that Albert and Xavier spent
= 198 - 162
= $36

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

1 u + 1 p = 36
1 u = 36 - 1 p --- (1)

Amount that Albert and Xavier had left
= 3 u + 6 p 

3 u + 6 p = 162
3 u = 162 - 6 p --- (2)

Make u the same.

(1) _{x 3}
3 u = 108 - 3 p --- (3)

(3) = (2)
108 - 3 p = 162 - 6 p 
6 p - 3 p = 162 - 108

3 p = 54

1 p = 54 ÷ 3 = 18

Amount that Xavier spent = $18

(b)
Amount that Xavier brought along
= 7 p
= 7 x 18
= $126

Answer(s): (a) $18; (b) $126