Bryan and Adam have some money in the ratio of 7 : 2
After Bryan gives
25 of his money to Adam,
Adam has $390 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 |
2 u |
9 u |
Change |
- 2.8 u |
+ 2.8 u |
|
After |
4.2 u |
4.8 u |
9 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
= 4.8 u - 4.2 u
= 0.6 u
0.6 u = 390
1 u = 390 ÷ 0.6 = 650
(a)
Amount that Adam has at first
= 2 u
= 2 x 650
= $1300
(b)
Amount that Bryan has in the end
= 4.2 u
= 4.2 x 650
= $2730
(c)
Amount that Bryan gives to Adam
= 2.8 u
= 2.8 x 650
= $1820
Answer(s): (a) $1300; (b) $2730; (c) $1820