Cole and Elijah went shopping with a total amount of $348. They had $290 left after shopping. Cole's remaining money was 3 times the amount he paid for. Elijah's remaining money was 7 times the amount he had spent.

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

	Cole	Elijah	Total
Before	4 u	8 p	348
Change	- 1 u	- 1 p	- 58
After	3 u	7 p	290

(a)
Amount that Cole and Elijah spent
= 348 - 290
= $58

Amount that Cole and Elijah spent
= 1 u + 1 p

1 u + 1 p = 58
1 u = 58 - 1 p --- (1)

Amount that Cole and Elijah had left
= 3 u + 7 p 

3 u + 7 p = 290
3 u = 290 - 7 p --- (2)

Make u the same.

(1) _{x 3}
3 u = 174 - 3 p --- (3)

(3) = (2)
174 - 3 p = 290 - 7 p 
7 p - 3 p = 290 - 174

4 p = 116

1 p = 116 ÷ 4 = 29

Amount that Elijah spent = $29

(b)
Amount that Elijah brought along
= 8 p
= 8 x 29
= $232

Answer(s): (a) $29; (b) $232