Ethan and Vaidev went shopping with a total amount of $456. They had $380 left after shopping. Ethan's remaining money was 4 times the amount he paid for. Vaidev's remaining money was 6 times the amount he had spent.

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

	Ethan	Vaidev	Total
Before	5 u	7 p	456
Change	- 1 u	- 1 p	- 76
After	4 u	6 p	380

(a)
Amount that Ethan and Vaidev spent
= 456 - 380
= $76

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

1 u + 1 p = 76
1 u = 76 - 1 p --- (1)

Amount that Ethan and Vaidev had left
= 4 u + 6 p 

4 u + 6 p = 380
4 u = 380 - 6 p --- (2)

Make u the same.

(1) _{x 4}
4 u = 304 - 4 p --- (3)

(3) = (2)
304 - 4 p = 380 - 6 p 
6 p - 4 p = 380 - 304

2 p = 76

1 p = 76 ÷ 2 = 38

Amount that Vaidev spent = $38

(b)
Amount that Vaidev brought along
= 7 p
= 7 x 38
= $266

Answer(s): (a) $38; (b) $266