Adam and Bryan have some money in the ratio of 7 : 2
After Adam gives
25 of his money to Bryan,
Bryan has $270 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 |
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 Adam to Bryan.
Amount that Adam gives to Bryan
=
25 x 7 u
= 2.8 u
Amount that Bryan has more than Adam in the end
= 4.8 u - 4.2 u
= 0.6 u
0.6 u = 270
1 u = 270 ÷ 0.6 = 450
(a)
Amount that Bryan has at first
= 2 u
= 2 x 450
= $900
(b)
Amount that Adam has in the end
= 4.2 u
= 4.2 x 450
= $1890
(c)
Amount that Adam gives to Bryan
= 2.8 u
= 2.8 x 450
= $1260
Answer(s): (a) $900; (b) $1890; (c) $1260