Adam and Bryan have a total of $91.
Adam spends ¹₃ of his money and
Bryan spends ¹₈ of his money.
They spend $22 altogether.

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

	Adam	Bryan
Before	3 u	8 p
Change	- 1 u	- 1 p
After	2 u	7 p

(a)
Amount that Adam has at first = 3 u
Amount that Bryan has at first = 8 p

Total amount that they have = 3 u + 8 p = 91 --- (1)
Total amount that they spend = 1 u + 1 p = 22 --- (2)

(2) _{x 8}
8 u + 8 p = 176 --- (3)

(3) - (1)
(8 u + 8 p) - (3 u + 8 p)  = 176 - 91
8 u + 8 p - 3 u - 8 p = 176 - 91
8 u - 3 u + 8 p - 8 p = 85
8 u - 3 u = 85
5 u = 85

1 u = 85 ÷ 5 = 17

Substitute 1 u = 17 into (1).

3 u + 8 p = 91
3 x 17 + 8 p = 91
51 + 8 p = 91
8 p = 91 - 51 = 40

1 p = 40 ÷ 8 = 5

Amount that Adam has at first
= 3 u
= 3 x 17
= $51

(b)
Amount that Bryan has in the end
= 8 p - 1 p
= 7 p
= 7 x 5
= $35

Answer(s): (a) $51; (b) $35