Bryan and Adam have some money in the ratio of 6 : 5
After Bryan gives
14 of his money to Adam,
Adam has $120 more than Bryan in the end.
- How much does Adam have at first?
- How much does Bryan have in the end?
- How much does Bryan give to Adam?
|
Bryan |
Adam |
Total |
Before |
6 u |
5 u |
11 u |
Change |
- 1.5 u |
+ 1.5 u |
|
After |
4.5 u |
6.5 u |
11 u |
The total amount remains the same because there is an internal transfer from Bryan to Adam.
Amount that Bryan gives to Adam
=
14 x 6 u
= 1.5 u
Amount that Adam has more than Bryan in the end
= 6.5 u - 4.5 u
= 2 u
2 u = 120
1 u = 120 ÷ 2 = 60
(a)
Amount that Adam has at first
= 5 u
= 5 x 60
= $300
(b)
Amount that Bryan has in the end
= 4.5 u
= 4.5 x 60
= $270
(c)
Amount that Bryan gives to Adam
= 1.5 u
= 1.5 x 60
= $90
Answer(s): (a) $300; (b) $270; (c) $90