Adam and Charlie have the same amount of money.
Adam spends $30 and Charlie spends $70.
In the end, Adam has 6 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 |
6 u + 30 |
1 u + 70 |
Change |
- 30 |
- 70 |
After |
6 u |
1 u |
(a)
At first
Amount that Adam has = Amount that Charlie has
6 u + 30 = 1 u + 70
6 u - 1 u = 70 - 30
5 u = 40
1 u = 40 ÷ 5 = 8
Amount that each of them has at first
= 1 u + 70
= 8 + 70
= $78
(b)
Amount that Charlie has less than Adam in the end
= 6 u - 1 u
= 5 u
= 5 x 8
= $40
Answer(s): (a) $78; (b) $40