Adam and Bryan have some money in the ratio of 9 : 5
After Adam gives
35 of his money to Bryan,
Bryan has $340 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 |
- 5.4 u |
+ 5.4 u |
|
After |
3.6 u |
10.4 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
=
35 x 9 u
= 5.4 u
Amount that Bryan has more than Adam in the end
= 10.4 u - 3.6 u
= 6.8 u
6.8 u = 340
1 u = 340 ÷ 6.8 = 50
(a)
Amount that Bryan has at first
= 5 u
= 5 x 50
= $250
(b)
Amount that Adam has in the end
= 3.6 u
= 3.6 x 50
= $180
(c)
Amount that Adam gives to Bryan
= 5.4 u
= 5.4 x 50
= $270
Answer(s): (a) $250; (b) $180; (c) $270