Bryan and Adam have some money in the ratio of 4 : 3
After Bryan gives
25 of his money to Adam,
Adam has $330 more than Bryan in the end.
- How much does Adam have at first?
- How much does Bryan have in the end?
- How much does Bryan give to Adam?
|
Bryan |
Adam |
Total |
Before |
4 u |
3 u |
7 u |
Change |
- 1.6 u |
+ 1.6 u |
|
After |
2.4 u |
4.6 u |
7 u |
The total amount remains the same because there is an internal transfer from Bryan to Adam.
Amount that Bryan gives to Adam
=
25 x 4 u
= 1.6 u
Amount that Adam has more than Bryan in the end
= 4.6 u - 2.4 u
= 2.2 u
2.2 u = 330
1 u = 330 ÷ 2.2 = 150
(a)
Amount that Adam has at first
= 3 u
= 3 x 150
= $450
(b)
Amount that Bryan has in the end
= 2.4 u
= 2.4 x 150
= $360
(c)
Amount that Bryan gives to Adam
= 1.6 u
= 1.6 x 150
= $240
Answer(s): (a) $450; (b) $360; (c) $240