Bryan and Adam have a total of $96.
Bryan spends ¹₄ of his money and
Adam spends ¹₈ of his money.
They spend $21 altogether.

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

	Bryan	Adam
Before	4 u	8 p
Change	- 1 u	- 1 p
After	3 u	7 p

(a)
Amount that Bryan has at first = 4 u
Amount that Adam has at first = 8 p

Total amount that they have = 4 u + 8 p = 96 --- (1)
Total amount that they spend = 1 u + 1 p = 21 --- (2)

(2) _{x 8}
8 u + 8 p = 168 --- (3)

(3) - (1)
(8 u + 8 p) - (4 u + 8 p)  = 168 - 96
8 u + 8 p - 4 u - 8 p = 168 - 96
8 u - 4 u + 8 p - 8 p = 72
8 u - 4 u = 72
4 u = 72

1 u = 72 ÷ 4 = 18

Substitute 1 u = 18 into (1).

4 u + 8 p = 96
4 x 18 + 8 p = 96
72 + 8 p = 96
8 p = 96 - 72 = 24

1 p = 24 ÷ 8 = 3

Amount that Bryan has at first
= 4 u
= 4 x 18
= $72

(b)
Amount that Adam has in the end
= 8 p - 1 p
= 7 p
= 7 x 3
= $21

Answer(s): (a) $72; (b) $21