Julian and Pierre went shopping with a total amount of $416. They had $352 left after shopping. Julian's remaining money was 4 times the amount he paid for. Pierre's remaining money was 7 times the amount he had spent.

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

	Julian	Pierre	Total
Before	5 u	8 p	416
Change	- 1 u	- 1 p	- 64
After	4 u	7 p	352

(a)
Amount that Julian and Pierre spent
= 416 - 352
= $64

Amount that Julian and Pierre spent
= 1 u + 1 p

1 u + 1 p = 64
1 u = 64 - 1 p --- (1)

Amount that Julian and Pierre had left
= 4 u + 7 p 

4 u + 7 p = 352
4 u = 352 - 7 p --- (2)

Make u the same.

(1) _{x 4}
4 u = 256 - 4 p --- (3)

(3) = (2)
256 - 4 p = 352 - 7 p 
7 p - 4 p = 352 - 256

3 p = 96

1 p = 96 ÷ 3 = 32

Amount that Pierre spent = $32

(b)
Amount that Pierre brought along
= 8 p
= 8 x 32
= $256

Answer(s): (a) $32; (b) $256