Bryan and Adam have some money in the ratio of 7 : 5
After Bryan gives
12 of his money to Adam,
Adam has $110 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 |
5 u |
12 u |
Change |
- 3.5 u |
+ 3.5 u |
|
After |
3.5 u |
8.5 u |
12 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
= 8.5 u - 3.5 u
= 5 u
5 u = 110
1 u = 110 ÷ 5 = 22
(a)
Amount that Adam has at first
= 5 u
= 5 x 22
= $110
(b)
Amount that Bryan has in the end
= 3.5 u
= 3.5 x 22
= $77
(c)
Amount that Bryan gives to Adam
= 3.5 u
= 3.5 x 22
= $77
Answer(s): (a) $110; (b) $77; (c) $77