Adam and Bryan have some money in the ratio of 3 : 2
After Adam gives
15 of his money to Bryan,
Bryan has $170 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 |
3 u |
2 u |
5 u |
Change |
- 0.6 u |
+ 0.6 u |
|
After |
2.4 u |
2.6 u |
5 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 3 u
= 0.6 u
Amount that Bryan has more than Adam in the end
= 2.6 u - 2.4 u
= 0.2 u
0.2 u = 170
1 u = 170 ÷ 0.2 = 850
(a)
Amount that Bryan has at first
= 2 u
= 2 x 850
= $1700
(b)
Amount that Adam has in the end
= 2.4 u
= 2.4 x 850
= $2040
(c)
Amount that Adam gives to Bryan
= 0.6 u
= 0.6 x 850
= $510
Answer(s): (a) $1700; (b) $2040; (c) $510