Zeph and Pierre went shopping with a total amount of $351. They had $297 left after shopping. Zeph'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?

	Zeph	Pierre	Total
Before	5 u	8 p	351
Change	- 1 u	- 1 p	- 54
After	4 u	7 p	297

(a)
Amount that Zeph and Pierre spent
= 351 - 297
= $54

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

1 u + 1 p = 54
1 u = 54 - 1 p --- (1)

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

4 u + 7 p = 297
4 u = 297 - 7 p --- (2)

Make u the same.

(1) _{x 4}
4 u = 216 - 4 p --- (3)

(3) = (2)
216 - 4 p = 297 - 7 p 
7 p - 4 p = 297 - 216

3 p = 81

1 p = 81 ÷ 3 = 27

Amount that Pierre spent = $27

(b)
Amount that Pierre brought along
= 8 p
= 8 x 27
= $216

Answer(s): (a) $27; (b) $216