Abel and Beck have the same amount of money.
Abel receives $60 and Beck receives $10.
In the end, Abel has 3 times as much money as Beck.
- How much does each of them have at first?
- How much does Beck have less than Abel in the end?
|
Abel |
Beck |
Before |
3 u - 60 |
1 u - 10 |
Change |
+ 60 |
+ 10 |
After |
3 u |
1 u |
(a)
At first
Amount that Abel has = Amount that Beck has
3 u - 60 = 1 u - 10
3 u - 1 u = 60 - 10
2 u = 50
1 u = 50 ÷ 2 = 25
Amount that each of them has at first
= 1 u - 10
= 25 - 10
= $15
(b)
Amount that Beck has less than Abel in the end
= 3 u - 1 u
= 2 u
= 2 x 25
= $50
Answer(s): (a) $15; (b) $50