Bryan and Adam have a total of $154.
Bryan spends
14 of his money and
Adam spends
16 of his money.
They spend $34 altogether.
- How much does Bryan have at first?
- How much does Adam have in the end?
|
Bryan |
Adam |
Before |
4 u |
6 p |
Change |
- 1 u |
- 1 p |
After |
3 u |
5 p |
(a)
Amount that Bryan has at first = 4 u
Amount that Adam has at first = 6 p
Total amount that they have = 4 u + 6 p = 154 --- (1)
Total amount that they spend = 1 u + 1 p = 34 --- (2)
(2)
x 6 6 u + 6 p = 204 --- (3)
(3) - (1)
(6 u + 6 p) - (4 u + 6 p) = 204 - 154
6 u + 6 p - 4 u - 6 p = 204 - 154
6 u - 4 u + 6 p - 6 p = 50
6 u - 4 u = 50
2 u = 50
1 u = 50 ÷ 2 = 25
Substitute 1 u = 25 into (1).
4 u + 6 p = 154
4 x 25 + 6 p = 154
100 + 6 p = 154
6 p = 154 - 100 = 54
1 p = 54 ÷ 6 = 9
Amount that Bryan has at first
= 4 u
= 4 x 25
= $100
(b)
Amount that Adam has in the end
= 6 p - 1 p
= 5 p
= 5 x 9
= $45
Answer(s): (a) $100; (b) $45