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