Adam and Charlie have the same amount of money.
Adam spends $10 and Charlie spends $100.
In the end, Adam has 3 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 |
3 u + 10 |
1 u + 100 |
Change |
- 10 |
- 100 |
After |
3 u |
1 u |
(a)
At first
Amount that Adam has = Amount that Charlie has
3 u + 10 = 1 u + 100
3 u - 1 u = 100 - 10
2 u = 90
1 u = 90 ÷ 2 = 45
Amount that each of them has at first
= 1 u + 100
= 45 + 100
= $145
(b)
Amount that Charlie has less than Adam in the end
= 3 u - 1 u
= 2 u
= 2 x 45
= $90
Answer(s): (a) $145; (b) $90