Daniel and Tommy went shopping with a total amount of $330. They had $264 left after shopping. Daniel's remaining money was 3 times the amount he paid for. Tommy's remaining money was 5 times the amount he had spent.

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

	Daniel	Tommy	Total
Before	4 u	6 p	330
Change	- 1 u	- 1 p	- 66
After	3 u	5 p	264

(a)
Amount that Daniel and Tommy spent
= 330 - 264
= $66

Amount that Daniel and Tommy spent
= 1 u + 1 p

1 u + 1 p = 66
1 u = 66 - 1 p --- (1)

Amount that Daniel and Tommy had left
= 3 u + 5 p 

3 u + 5 p = 264
3 u = 264 - 5 p --- (2)

Make u the same.

(1) _{x 3}
3 u = 198 - 3 p --- (3)

(3) = (2)
198 - 3 p = 264 - 5 p 
5 p - 3 p = 264 - 198

2 p = 66

1 p = 66 ÷ 2 = 33

Amount that Tommy spent = $33

(b)
Amount that Tommy brought along
= 6 p
= 6 x 33
= $198

Answer(s): (a) $33; (b) $198