Pierre and Ahmad went shopping with a total amount of $216. They had $180 left after shopping. Pierre's remaining money was 3 times the amount he paid for. Ahmad's remaining money was 7 times the amount he had spent.

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

	Pierre	Ahmad	Total
Before	4 u	8 p	216
Change	- 1 u	- 1 p	- 36
After	3 u	7 p	180

(a)
Amount that Pierre and Ahmad spent
= 216 - 180
= $36

Amount that Pierre and Ahmad spent
= 1 u + 1 p

1 u + 1 p = 36
1 u = 36 - 1 p --- (1)

Amount that Pierre and Ahmad had left
= 3 u + 7 p 

3 u + 7 p = 180
3 u = 180 - 7 p --- (2)

Make u the same.

(1) _{x 3}
3 u = 108 - 3 p --- (3)

(3) = (2)
108 - 3 p = 180 - 7 p 
7 p - 3 p = 180 - 108

4 p = 72

1 p = 72 ÷ 4 = 18

Amount that Ahmad spent = $18

(b)
Amount that Ahmad brought along
= 8 p
= 8 x 18
= $144

Answer(s): (a) $18; (b) $144