Bryan and Adam have some money in the ratio of 8 : 3
After Bryan gives
25 of his money to Adam,
Adam has $280 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 |
8 u |
3 u |
11 u |
Change |
- 3.2 u |
+ 3.2 u |
|
After |
4.8 u |
6.2 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
=
25 x 8 u
= 3.2 u
Amount that Adam has more than Bryan in the end
= 6.2 u - 4.8 u
= 1.4 u
1.4 u = 280
1 u = 280 ÷ 1.4 = 200
(a)
Amount that Adam has at first
= 3 u
= 3 x 200
= $600
(b)
Amount that Bryan has in the end
= 4.8 u
= 4.8 x 200
= $960
(c)
Amount that Bryan gives to Adam
= 3.2 u
= 3.2 x 200
= $640
Answer(s): (a) $600; (b) $960; (c) $640