Jenson and Simon went shopping with a total amount of $200. They had $160 left after shopping. Jenson's remaining money was 3 times the amount he paid for. Simon's remaining money was 5 times the amount he had spent.

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

	Jenson	Simon	Total
Before	4 u	6 p	200
Change	- 1 u	- 1 p	- 40
After	3 u	5 p	160

(a)
Amount that Jenson and Simon spent
= 200 - 160
= $40

Amount that Jenson and Simon spent
= 1 u + 1 p

1 u + 1 p = 40
1 u = 40 - 1 p --- (1)

Amount that Jenson and Simon had left
= 3 u + 5 p 

3 u + 5 p = 160
3 u = 160 - 5 p --- (2)

Make u the same.

(1) _{x 3}
3 u = 120 - 3 p --- (3)

(3) = (2)
120 - 3 p = 160 - 5 p 
5 p - 3 p = 160 - 120

2 p = 40

1 p = 40 ÷ 2 = 20

Amount that Simon spent = $20

(b)
Amount that Simon brought along
= 6 p
= 6 x 20
= $120

Answer(s): (a) $20; (b) $120