Bryan and Adam have a total of $65.
Bryan spends ¹₃ of his money and
Adam spends ¹₅ of his money.
They spend $17 altogether.

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

	Bryan	Adam
Before	3 u	5 p
Change	- 1 u	- 1 p
After	2 u	4 p

(a)
Amount that Bryan has at first = 3 u
Amount that Adam has at first = 5 p

Total amount that they have = 3 u + 5 p = 65 --- (1)
Total amount that they spend = 1 u + 1 p = 17 --- (2)

(2) _{x 5}
5 u + 5 p = 85 --- (3)

(3) - (1)
(5 u + 5 p) - (3 u + 5 p)  = 85 - 65
5 u + 5 p - 3 u - 5 p = 85 - 65
5 u - 3 u + 5 p - 5 p = 20
5 u - 3 u = 20
2 u = 20

1 u = 20 ÷ 2 = 10

Substitute 1 u = 10 into (1).

3 u + 5 p = 65
3 x 10 + 5 p = 65
30 + 5 p = 65
5 p = 65 - 30 = 35

1 p = 35 ÷ 5 = 7

Amount that Bryan has at first
= 3 u
= 3 x 10
= $30

(b)
Amount that Adam has in the end
= 5 p - 1 p
= 4 p
= 4 x 7
= $28

Answer(s): (a) $30; (b) $28