Adam and Bryan have some money in the ratio of 4 : 3
After Adam gives
15 of his money to Bryan,
Bryan has $180 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 |
4 u |
3 u |
7 u |
Change |
- 0.8 u |
+ 0.8 u |
|
After |
3.2 u |
3.8 u |
7 u |
The total amount remains the same because there is an internal transfer from Adam to Bryan.
Amount that Adam gives to Bryan
=
15 x 4 u
= 0.8 u
Amount that Bryan has more than Adam in the end
= 3.8 u - 3.2 u
= 0.6 u
0.6 u = 180
1 u = 180 ÷ 0.6 = 300
(a)
Amount that Bryan has at first
= 3 u
= 3 x 300
= $900
(b)
Amount that Adam has in the end
= 3.2 u
= 3.2 x 300
= $960
(c)
Amount that Adam gives to Bryan
= 0.8 u
= 0.8 x 300
= $240
Answer(s): (a) $900; (b) $960; (c) $240