Ryan and Gabriel went shopping with a total amount of $468. They had $390 left after shopping. Ryan's remaining money was 4 times the amount he paid for. Gabriel's remaining money was 6 times the amount he had spent.

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

	Ryan	Gabriel	Total
Before	5 u	7 p	468
Change	- 1 u	- 1 p	- 78
After	4 u	6 p	390

(a)
Amount that Ryan and Gabriel spent
= 468 - 390
= $78

Amount that Ryan and Gabriel spent
= 1 u + 1 p

1 u + 1 p = 78
1 u = 78 - 1 p --- (1)

Amount that Ryan and Gabriel had left
= 4 u + 6 p 

4 u + 6 p = 390
4 u = 390 - 6 p --- (2)

Make u the same.

(1) _{x 4}
4 u = 312 - 4 p --- (3)

(3) = (2)
312 - 4 p = 390 - 6 p 
6 p - 4 p = 390 - 312

2 p = 78

1 p = 78 ÷ 2 = 39

Amount that Gabriel spent = $39

(b)
Amount that Gabriel brought along
= 7 p
= 7 x 39
= $273

Answer(s): (a) $39; (b) $273