Riordan and Jeremy went shopping with a total amount of $288. They had $240 left after shopping. Riordan's remaining money was 3 times the amount he paid for. Jeremy's remaining money was 7 times the amount he had spent.

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

	Riordan	Jeremy	Total
Before	4 u	8 p	288
Change	- 1 u	- 1 p	- 48
After	3 u	7 p	240

(a)
Amount that Riordan and Jeremy spent
= 288 - 240
= $48

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

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

Amount that Riordan and Jeremy had left
= 3 u + 7 p 

3 u + 7 p = 240
3 u = 240 - 7 p --- (2)

Make u the same.

(1) _{x 3}
3 u = 144 - 3 p --- (3)

(3) = (2)
144 - 3 p = 240 - 7 p 
7 p - 3 p = 240 - 144

4 p = 96

1 p = 96 ÷ 4 = 24

Amount that Jeremy spent = $24

(b)
Amount that Jeremy brought along
= 8 p
= 8 x 24
= $192

Answer(s): (a) $24; (b) $192