Charlie and Bryan have the same amount of money.
Charlie spends $10 and Bryan spends $90.
In the end, Charlie has 5 times as much money as Bryan.
- How much does each of them have at first?
- How much does Charlie have more than Bryan in the end?
|
Charlie |
Bryan |
Before |
5 u + 10 |
1 u + 90 |
Change |
- 10 |
- 90 |
After |
5 u |
1 u |
(a)
At first
Amount that Charlie has = Amount that Bryan has
5 u + 10 = 1 u + 90
5 u - 1 u = 90 - 10
4 u = 80
1 u = 80 ÷ 4 = 20
Amount that each of them has at first
= 1 u + 90
= 20 + 90
= $110
(b)
Amount that Charlie has more than Bryan in the end
= 5 u - 1 u
= 4 u
= 4 x 20
= $80
Answer(s): (a) $110; (b) $80