Julian and Harry went shopping with a total amount of $209. They had $171 left after shopping. Julian's remaining money was 3 times the amount he paid for. Harry's remaining money was 6 times the amount he had spent.

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

	Julian	Harry	Total
Before	4 u	7 p	209
Change	- 1 u	- 1 p	- 38
After	3 u	6 p	171

(a)
Amount that Julian and Harry spent
= 209 - 171
= $38

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

1 u + 1 p = 38
1 u = 38 - 1 p --- (1)

Amount that Julian and Harry had left
= 3 u + 6 p 

3 u + 6 p = 171
3 u = 171 - 6 p --- (2)

Make u the same.

(1) _{x 3}
3 u = 114 - 3 p --- (3)

(3) = (2)
114 - 3 p = 171 - 6 p 
6 p - 3 p = 171 - 114

3 p = 57

1 p = 57 ÷ 3 = 19

Amount that Harry spent = $19

(b)
Amount that Harry brought along
= 7 p
= 7 x 19
= $133

Answer(s): (a) $19; (b) $133