Bryan and Adam have some money in the ratio of 7 : 3
After Bryan gives
35 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 |
7 u |
3 u |
10 u |
Change |
- 4.2 u |
+ 4.2 u |
|
After |
2.8 u |
7.2 u |
10 u |
The total amount remains the same because there is an internal transfer from Bryan to Adam.
Amount that Bryan gives to Adam
=
35 x 7 u
= 4.2 u
Amount that Adam has more than Bryan in the end
= 7.2 u - 2.8 u
= 4.4 u
4.4 u = 330
1 u = 330 ÷ 4.4 = 75
(a)
Amount that Adam has at first
= 3 u
= 3 x 75
= $225
(b)
Amount that Bryan has in the end
= 2.8 u
= 2.8 x 75
= $210
(c)
Amount that Bryan gives to Adam
= 4.2 u
= 4.2 x 75
= $315
Answer(s): (a) $225; (b) $210; (c) $315