Vaidev and Daniel went shopping with a total amount of $560. They had $480 left after shopping. Vaidev's remaining money was 5 times the amount he paid for. Daniel's remaining money was 7 times the amount he had spent.

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

	Vaidev	Daniel	Total
Before	6 u	8 p	560
Change	- 1 u	- 1 p	- 80
After	5 u	7 p	480

(a)
Amount that Vaidev and Daniel spent
= 560 - 480
= $80

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

1 u + 1 p = 80
1 u = 80 - 1 p --- (1)

Amount that Vaidev and Daniel had left
= 5 u + 7 p 

5 u + 7 p = 480
5 u = 480 - 7 p --- (2)

Make u the same.

(1) _{x 5}
5 u = 400 - 5 p --- (3)

(3) = (2)
400 - 5 p = 480 - 7 p 
7 p - 5 p = 480 - 400

2 p = 80

1 p = 80 ÷ 2 = 40

Amount that Daniel spent = $40

(b)
Amount that Daniel brought along
= 8 p
= 8 x 40
= $320

Answer(s): (a) $40; (b) $320