Bryan and Adam have some money in the ratio of 7 : 5
After Bryan gives
35 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 |
5 u |
12 u |
Change |
- 4.2 u |
+ 4.2 u |
|
After |
2.8 u |
9.2 u |
12 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 7 u
= 4.2 u
Amount that Adam has more than Bryan in the end
= 9.2 u - 2.8 u
= 6.4 u
6.4 u = 320
1 u = 320 ÷ 6.4 = 50
(a)
Amount that Adam has at first
= 5 u
= 5 x 50
= $250
(b)
Amount that Bryan has in the end
= 2.8 u
= 2.8 x 50
= $140
(c)
Amount that Bryan gives to Adam
= 4.2 u
= 4.2 x 50
= $210
Answer(s): (a) $250; (b) $140; (c) $210