Adam and Bryan have some money in the ratio of 9 : 5
After Adam gives
25 of his money to Bryan,
Bryan has $400 more than Adam in the end.
- How much does Bryan have at first?
- How much does Adam have in the end?
- How much does Adam give to Bryan?
|
Adam |
Bryan |
Total |
Before |
9 u |
5 u |
14 u |
Change |
- 3.6 u |
+ 3.6 u |
|
After |
5.4 u |
8.6 u |
14 u |
The total amount remains the same because there is an internal transfer from Adam to Bryan.
Amount that Adam gives to Bryan
=
25 x 9 u
= 3.6 u
Amount that Bryan has more than Adam in the end
= 8.6 u - 5.4 u
= 3.2 u
3.2 u = 400
1 u = 400 ÷ 3.2 = 125
(a)
Amount that Bryan has at first
= 5 u
= 5 x 125
= $625
(b)
Amount that Adam has in the end
= 5.4 u
= 5.4 x 125
= $675
(c)
Amount that Adam gives to Bryan
= 3.6 u
= 3.6 x 125
= $450
Answer(s): (a) $625; (b) $675; (c) $450