Charlie and Ivan went shopping with a total amount of $264. They had $220 left after shopping. Charlie's remaining money was 4 times the amount he paid for. Ivan's remaining money was 6 times the amount he had spent.

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

	Charlie	Ivan	Total
Before	5 u	7 p	264
Change	- 1 u	- 1 p	- 44
After	4 u	6 p	220

(a)
Amount that Charlie and Ivan spent
= 264 - 220
= $44

Amount that Charlie and Ivan spent
= 1 u + 1 p

1 u + 1 p = 44
1 u = 44 - 1 p --- (1)

Amount that Charlie and Ivan had left
= 4 u + 6 p 

4 u + 6 p = 220
4 u = 220 - 6 p --- (2)

Make u the same.

(1) _{x 4}
4 u = 176 - 4 p --- (3)

(3) = (2)
176 - 4 p = 220 - 6 p 
6 p - 4 p = 220 - 176

2 p = 44

1 p = 44 ÷ 2 = 22

Amount that Ivan spent = $22

(b)
Amount that Ivan brought along
= 7 p
= 7 x 22
= $154

Answer(s): (a) $22; (b) $154