John and George went shopping with a total amount of $504. They had $432 left after shopping. John's remaining money was 5 times the amount he paid for. George's remaining money was 7 times the amount he had spent.

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

	John	George	Total
Before	6 u	8 p	504
Change	- 1 u	- 1 p	- 72
After	5 u	7 p	432

(a)
Amount that John and George spent
= 504 - 432
= $72

Amount that John and George spent
= 1 u + 1 p

1 u + 1 p = 72
1 u = 72 - 1 p --- (1)

Amount that John and George had left
= 5 u + 7 p 

5 u + 7 p = 432
5 u = 432 - 7 p --- (2)

Make u the same.

(1) _{x 5}
5 u = 360 - 5 p --- (3)

(3) = (2)
360 - 5 p = 432 - 7 p 
7 p - 5 p = 432 - 360

2 p = 72

1 p = 72 ÷ 2 = 36

Amount that George spent = $36

(b)
Amount that George brought along
= 8 p
= 8 x 36
= $288

Answer(s): (a) $36; (b) $288