Adam and Bryan have a total of $165.
Adam spends ¹₅ of his money and
Bryan spends ¹₈ of his money.
They spend $27 altogether.

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

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

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

Total amount that they have = 5 u + 8 p = 165 --- (1)
Total amount that they spend = 1 u + 1 p = 27 --- (2)

(2) _{x 8}
8 u + 8 p = 216 --- (3)

(3) - (1)
(8 u + 8 p) - (5 u + 8 p)  = 216 - 165
8 u + 8 p - 5 u - 8 p = 216 - 165
8 u - 5 u + 8 p - 8 p = 51
8 u - 5 u = 51
3 u = 51

1 u = 51 ÷ 3 = 17

Substitute 1 u = 17 into (1).

5 u + 8 p = 165
5 x 17 + 8 p = 165
85 + 8 p = 165
8 p = 165 - 85 = 80

1 p = 80 ÷ 8 = 10

Amount that Adam has at first
= 5 u
= 5 x 17
= $85

(b)
Amount that Bryan has in the end
= 8 p - 1 p
= 7 p
= 7 x 10
= $70

Answer(s): (a) $85; (b) $70