Bryan and Adam have a total of $185.
Bryan spends ¹₅ of his money and
Adam spends ¹₈ of his money.
They spend $28 altogether.

1. How much does Bryan have at first?
2. How much does Adam have in the end?

	Bryan	Adam
Before	5 u	8 p
Change	- 1 u	- 1 p
After	4 u	7 p

(a)
Amount that Bryan has at first = 5 u
Amount that Adam has at first = 8 p

Total amount that they have = 5 u + 8 p = 185 --- (1)
Total amount that they spend = 1 u + 1 p = 28 --- (2)

(2) _{x 8}
8 u + 8 p = 224 --- (3)

(3) - (1)
(8 u + 8 p) - (5 u + 8 p)  = 224 - 185
8 u + 8 p - 5 u - 8 p = 224 - 185
8 u - 5 u + 8 p - 8 p = 39
8 u - 5 u = 39
3 u = 39

1 u = 39 ÷ 3 = 13

Substitute 1 u = 13 into (1).

5 u + 8 p = 185
5 x 13 + 8 p = 185
65 + 8 p = 185
8 p = 185 - 65 = 120

1 p = 120 ÷ 8 = 15

Amount that Bryan has at first
= 5 u
= 5 x 13
= $65

(b)
Amount that Adam has in the end
= 8 p - 1 p
= 7 p
= 7 x 15
= $105

Answer(s): (a) $65; (b) $105