Bryan and Adam have a total of $106.
Bryan spends
13 of his money and
Adam spends
18 of his money.
They spend $27 altogether.
- How much does Bryan have at first?
- How much does Adam have in the end?
|
Bryan |
Adam |
Before |
3 u |
8 p |
Change |
- 1 u |
- 1 p |
After |
2 u |
7 p |
(a)
Amount that Bryan has at first = 3 u
Amount that Adam has at first = 8 p
Total amount that they have = 3 u + 8 p = 106 --- (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) - (3 u + 8 p) = 216 - 106
8 u + 8 p - 3 u - 8 p = 216 - 106
8 u - 3 u + 8 p - 8 p = 110
8 u - 3 u = 110
5 u = 110
1 u = 110 ÷ 5 = 22
Substitute 1 u = 22 into (1).
3 u + 8 p = 106
3 x 22 + 8 p = 106
66 + 8 p = 106
8 p = 106 - 66 = 40
1 p = 40 ÷ 8 = 5
Amount that Bryan has at first
= 3 u
= 3 x 22
= $66
(b)
Amount that Adam has in the end
= 8 p - 1 p
= 7 p
= 7 x 5
= $35
Answer(s): (a) $66; (b) $35