Ryan and Jeremy went shopping with a total amount of $240. They had $192 left after shopping. Ryan's remaining money was 3 times the amount he paid for. Jeremy's remaining money was 5 times the amount he had spent.

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

	Ryan	Jeremy	Total
Before	4 u	6 p	240
Change	- 1 u	- 1 p	- 48
After	3 u	5 p	192

(a)
Amount that Ryan and Jeremy spent
= 240 - 192
= $48

Amount that Ryan and Jeremy spent
= 1 u + 1 p

1 u + 1 p = 48
1 u = 48 - 1 p --- (1)

Amount that Ryan and Jeremy had left
= 3 u + 5 p 

3 u + 5 p = 192
3 u = 192 - 5 p --- (2)

Make u the same.

(1) _{x 3}
3 u = 144 - 3 p --- (3)

(3) = (2)
144 - 3 p = 192 - 5 p 
5 p - 3 p = 192 - 144

2 p = 48

1 p = 48 ÷ 2 = 24

Amount that Jeremy spent = $24

(b)
Amount that Jeremy brought along
= 6 p
= 6 x 24
= $144

Answer(s): (a) $24; (b) $144