Adam and Bryan have a total of $187.
Adam spends ¹₄ of his money and
Bryan spends ¹₇ of his money.
They spend $43 altogether.

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

	Adam	Bryan
Before	4 u	7 p
Change	- 1 u	- 1 p
After	3 u	6 p

(a)
Amount that Adam has at first = 4 u
Amount that Bryan has at first = 7 p

Total amount that they have = 4 u + 7 p = 187 --- (1)
Total amount that they spend = 1 u + 1 p = 43 --- (2)

(2) _{x 7}
7 u + 7 p = 301 --- (3)

(3) - (1)
(7 u + 7 p) - (4 u + 7 p)  = 301 - 187
7 u + 7 p - 4 u - 7 p = 301 - 187
7 u - 4 u + 7 p - 7 p = 114
7 u - 4 u = 114
3 u = 114

1 u = 114 ÷ 3 = 38

Substitute 1 u = 38 into (1).

4 u + 7 p = 187
4 x 38 + 7 p = 187
152 + 7 p = 187
7 p = 187 - 152 = 35

1 p = 35 ÷ 7 = 5

Amount that Adam has at first
= 4 u
= 4 x 38
= $152

(b)
Amount that Bryan has in the end
= 7 p - 1 p
= 6 p
= 6 x 5
= $30

Answer(s): (a) $152; (b) $30