Bryan and Adam have some money in the ratio of 7 : 2
After Bryan gives
12 of his money to Adam,
Adam has $380 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 |
2 u |
9 u |
Change |
- 3.5 u |
+ 3.5 u |
|
After |
3.5 u |
5.5 u |
9 u |
The total amount remains the same because there is an internal transfer from Bryan to Adam.
Amount that Bryan gives to Adam
=
12 x 7 u
= 3.5 u
Amount that Adam has more than Bryan in the end
= 5.5 u - 3.5 u
= 2 u
2 u = 380
1 u = 380 ÷ 2 = 190
(a)
Amount that Adam has at first
= 2 u
= 2 x 190
= $380
(b)
Amount that Bryan has in the end
= 3.5 u
= 3.5 x 190
= $665
(c)
Amount that Bryan gives to Adam
= 3.5 u
= 3.5 x 190
= $665
Answer(s): (a) $380; (b) $665; (c) $665