John and Albert went shopping with a total amount of $374. They had $306 left after shopping. John's remaining money was 3 times the amount he paid for. Albert's remaining money was 6 times the amount he had spent.

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

	John	Albert	Total
Before	4 u	7 p	374
Change	- 1 u	- 1 p	- 68
After	3 u	6 p	306

(a)
Amount that John and Albert spent
= 374 - 306
= $68

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

1 u + 1 p = 68
1 u = 68 - 1 p --- (1)

Amount that John and Albert had left
= 3 u + 6 p 

3 u + 6 p = 306
3 u = 306 - 6 p --- (2)

Make u the same.

(1) _{x 3}
3 u = 204 - 3 p --- (3)

(3) = (2)
204 - 3 p = 306 - 6 p 
6 p - 3 p = 306 - 204

3 p = 102

1 p = 102 ÷ 3 = 34

Amount that Albert spent = $34

(b)
Amount that Albert brought along
= 7 p
= 7 x 34
= $238

Answer(s): (a) $34; (b) $238