David and Fabian went shopping with a total amount of $370. They had $296 left after shopping. David's remaining money was 3 times the amount he paid for. Fabian's remaining money was 5 times the amount he had spent.

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

	David	Fabian	Total
Before	4 u	6 p	370
Change	- 1 u	- 1 p	- 74
After	3 u	5 p	296

(a)
Amount that David and Fabian spent
= 370 - 296
= $74

Amount that David and Fabian spent
= 1 u + 1 p

1 u + 1 p = 74
1 u = 74 - 1 p --- (1)

Amount that David and Fabian had left
= 3 u + 5 p 

3 u + 5 p = 296
3 u = 296 - 5 p --- (2)

Make u the same.

(1) _{x 3}
3 u = 222 - 3 p --- (3)

(3) = (2)
222 - 3 p = 296 - 5 p 
5 p - 3 p = 296 - 222

2 p = 74

1 p = 74 ÷ 2 = 37

Amount that Fabian spent = $37

(b)
Amount that Fabian brought along
= 6 p
= 6 x 37
= $222

Answer(s): (a) $37; (b) $222