Adam and Bryan have the same amount of money.
Adam spends $20 and Bryan spends $100.
In the end, Adam has 3 times as much money as Bryan.
- How much does each of them have at first?
- How much does Adam have more than Bryan in the end?
|
Adam |
Bryan |
Before |
3 u + 20 |
1 u + 100 |
Change |
- 20 |
- 100 |
After |
3 u |
1 u |
(a)
At first
Amount that Adam has = Amount that Bryan has
3 u + 20 = 1 u + 100
3 u - 1 u = 100 - 20
2 u = 80
1 u = 80 ÷ 2 = 40
Amount that each of them has at first
= 1 u + 100
= 40 + 100
= $140
(b)
Amount that Adam has more than Bryan in the end
= 3 u - 1 u
= 2 u
= 2 x 40
= $80
Answer(s): (a) $140; (b) $80