Luke and Fabian went shopping with a total amount of $196. They had $168 left after shopping. Luke's remaining money was 5 times the amount he paid for. Fabian's remaining money was 7 times the amount he had spent.

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

	Luke	Fabian	Total
Before	6 u	8 p	196
Change	- 1 u	- 1 p	- 28
After	5 u	7 p	168

(a)
Amount that Luke and Fabian spent
= 196 - 168
= $28

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

1 u + 1 p = 28
1 u = 28 - 1 p --- (1)

Amount that Luke and Fabian had left
= 5 u + 7 p 

5 u + 7 p = 168
5 u = 168 - 7 p --- (2)

Make u the same.

(1) _{x 5}
5 u = 140 - 5 p --- (3)

(3) = (2)
140 - 5 p = 168 - 7 p 
7 p - 5 p = 168 - 140

2 p = 28

1 p = 28 ÷ 2 = 14

Amount that Fabian spent = $14

(b)
Amount that Fabian brought along
= 8 p
= 8 x 14
= $112

Answer(s): (a) $14; (b) $112