Adam and Charlie have the same amount of money.
Adam spends $20 and Charlie spends $100.
In the end, Adam has 5 times as much money as Charlie.
- How much does each of them have at first?
- How much does Charlie have less than Adam in the end?
|
Adam |
Charlie |
Before |
5 u + 20 |
1 u + 100 |
Change |
- 20 |
- 100 |
After |
5 u |
1 u |
(a)
At first
Amount that Adam has = Amount that Charlie has
5 u + 20 = 1 u + 100
5 u - 1 u = 100 - 20
4 u = 80
1 u = 80 ÷ 4 = 20
Amount that each of them has at first
= 1 u + 100
= 20 + 100
= $120
(b)
Amount that Charlie has less than Adam in the end
= 5 u - 1 u
= 4 u
= 4 x 20
= $80
Answer(s): (a) $120; (b) $80