Adam and Bryan have some money in the ratio of 9 : 4
After Adam gives
12 of his money to Bryan,
Bryan has $200 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 |
4 u |
13 u |
Change |
- 4.5 u |
+ 4.5 u |
|
After |
4.5 u |
8.5 u |
13 u |
The total amount remains the same because there is an internal transfer from Adam to Bryan.
Amount that Adam gives to Bryan
=
12 x 9 u
= 4.5 u
Amount that Bryan has more than Adam in the end
= 8.5 u - 4.5 u
= 4 u
4 u = 200
1 u = 200 ÷ 4 = 50
(a)
Amount that Bryan has at first
= 4 u
= 4 x 50
= $200
(b)
Amount that Adam has in the end
= 4.5 u
= 4.5 x 50
= $225
(c)
Amount that Adam gives to Bryan
= 4.5 u
= 4.5 x 50
= $225
Answer(s): (a) $200; (b) $225; (c) $225