Adam and Bryan have some money in the ratio of 3 : 2
After Adam gives
12 of his money to Bryan,
Bryan has $140 more than Adam in the end.
- How much does Bryan have at first?
- How much does Adam have in the end?
- How much does Adam give to Bryan?
|
Adam |
Bryan |
Total |
Before |
3 u |
2 u |
5 u |
Change |
- 1.5 u |
+ 1.5 u |
|
After |
1.5 u |
3.5 u |
5 u |
The total amount remains the same because there is an internal transfer from Adam to Bryan.
Amount that Adam gives to Bryan
=
12 x 3 u
= 1.5 u
Amount that Bryan has more than Adam in the end
= 3.5 u - 1.5 u
= 2 u
2 u = 140
1 u = 140 ÷ 2 = 70
(a)
Amount that Bryan has at first
= 2 u
= 2 x 70
= $140
(b)
Amount that Adam has in the end
= 1.5 u
= 1.5 x 70
= $105
(c)
Amount that Adam gives to Bryan
= 1.5 u
= 1.5 x 70
= $105
Answer(s): (a) $140; (b) $105; (c) $105