Tommy and Howard went shopping with a total amount of $300. They had $250 left after shopping. Tommy's remaining money was 4 times the amount he paid for. Howard's remaining money was 6 times the amount he had spent.

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

	Tommy	Howard	Total
Before	5 u	7 p	300
Change	- 1 u	- 1 p	- 50
After	4 u	6 p	250

(a)
Amount that Tommy and Howard spent
= 300 - 250
= $50

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

1 u + 1 p = 50
1 u = 50 - 1 p --- (1)

Amount that Tommy and Howard had left
= 4 u + 6 p 

4 u + 6 p = 250
4 u = 250 - 6 p --- (2)

Make u the same.

(1) _{x 4}
4 u = 200 - 4 p --- (3)

(3) = (2)
200 - 4 p = 250 - 6 p 
6 p - 4 p = 250 - 200

2 p = 50

1 p = 50 ÷ 2 = 25

Amount that Howard spent = $25

(b)
Amount that Howard brought along
= 7 p
= 7 x 25
= $175

Answer(s): (a) $25; (b) $175