Bryan and Adam have some money in the ratio of 7 : 3
After Bryan gives
25 of his money to Adam,
Adam has $320 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 |
7 u |
3 u |
10 u |
Change |
- 2.8 u |
+ 2.8 u |
|
After |
4.2 u |
5.8 u |
10 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 7 u
= 2.8 u
Amount that Adam has more than Bryan in the end
= 5.8 u - 4.2 u
= 1.6 u
1.6 u = 320
1 u = 320 ÷ 1.6 = 200
(a)
Amount that Adam has at first
= 3 u
= 3 x 200
= $600
(b)
Amount that Bryan has in the end
= 4.2 u
= 4.2 x 200
= $840
(c)
Amount that Bryan gives to Adam
= 2.8 u
= 2.8 x 200
= $560
Answer(s): (a) $600; (b) $840; (c) $560