Michael and Tommy went shopping with a total amount of $299. They had $253 left after shopping. Michael's remaining money was 4 times the amount he paid for. Tommy's remaining money was 7 times the amount he had spent.

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

	Michael	Tommy	Total
Before	5 u	8 p	299
Change	- 1 u	- 1 p	- 46
After	4 u	7 p	253

(a)
Amount that Michael and Tommy spent
= 299 - 253
= $46

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

1 u + 1 p = 46
1 u = 46 - 1 p --- (1)

Amount that Michael and Tommy had left
= 4 u + 7 p 

4 u + 7 p = 253
4 u = 253 - 7 p --- (2)

Make u the same.

(1) _{x 4}
4 u = 184 - 4 p --- (3)

(3) = (2)
184 - 4 p = 253 - 7 p 
7 p - 4 p = 253 - 184

3 p = 69

1 p = 69 ÷ 3 = 23

Amount that Tommy spent = $23

(b)
Amount that Tommy brought along
= 8 p
= 8 x 23
= $184

Answer(s): (a) $23; (b) $184