Xavier and Peter went shopping with a total amount of $432. They had $360 left after shopping. Xavier's remaining money was 4 times the amount he paid for. Peter's remaining money was 6 times the amount he had spent.

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

	Xavier	Peter	Total
Before	5 u	7 p	432
Change	- 1 u	- 1 p	- 72
After	4 u	6 p	360

(a)
Amount that Xavier and Peter spent
= 432 - 360
= $72

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

1 u + 1 p = 72
1 u = 72 - 1 p --- (1)

Amount that Xavier and Peter had left
= 4 u + 6 p 

4 u + 6 p = 360
4 u = 360 - 6 p --- (2)

Make u the same.

(1) _{x 4}
4 u = 288 - 4 p --- (3)

(3) = (2)
288 - 4 p = 360 - 6 p 
6 p - 4 p = 360 - 288

2 p = 72

1 p = 72 ÷ 2 = 36

Amount that Peter spent = $36

(b)
Amount that Peter brought along
= 7 p
= 7 x 36
= $252

Answer(s): (a) $36; (b) $252