Bryan and Adam have some money in the ratio of 6 : 5
After Bryan gives
35 of his money to Adam,
Adam has $310 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 |
- 3.6 u |
+ 3.6 u |
|
After |
2.4 u |
8.6 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
=
35 x 6 u
= 3.6 u
Amount that Adam has more than Bryan in the end
= 8.6 u - 2.4 u
= 6.2 u
6.2 u = 310
1 u = 310 ÷ 6.2 = 50
(a)
Amount that Adam has at first
= 5 u
= 5 x 50
= $250
(b)
Amount that Bryan has in the end
= 2.4 u
= 2.4 x 50
= $120
(c)
Amount that Bryan gives to Adam
= 3.6 u
= 3.6 x 50
= $180
Answer(s): (a) $250; (b) $120; (c) $180