Japheth and George went shopping with a total amount of $180. They had $150 left after shopping. Japheth's remaining money was 4 times the amount he paid for. George's remaining money was 6 times the amount he had spent.

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

	Japheth	George	Total
Before	5 u	7 p	180
Change	- 1 u	- 1 p	- 30
After	4 u	6 p	150

(a)
Amount that Japheth and George spent
= 180 - 150
= $30

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

1 u + 1 p = 30
1 u = 30 - 1 p --- (1)

Amount that Japheth and George had left
= 4 u + 6 p 

4 u + 6 p = 150
4 u = 150 - 6 p --- (2)

Make u the same.

(1) _{x 4}
4 u = 120 - 4 p --- (3)

(3) = (2)
120 - 4 p = 150 - 6 p 
6 p - 4 p = 150 - 120

2 p = 30

1 p = 30 ÷ 2 = 15

Amount that George spent = $15

(b)
Amount that George brought along
= 7 p
= 7 x 15
= $105

Answer(s): (a) $15; (b) $105