Adam and Bryan have some money in the ratio of 7 : 5
After Adam gives
12 of his money to Bryan,
Bryan has $350 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 |
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 Adam to Bryan.
Amount that Adam gives to Bryan
=
12 x 7 u
= 3.5 u
Amount that Bryan has more than Adam in the end
= 8.5 u - 3.5 u
= 5 u
5 u = 350
1 u = 350 ÷ 5 = 70
(a)
Amount that Bryan has at first
= 5 u
= 5 x 70
= $350
(b)
Amount that Adam has in the end
= 3.5 u
= 3.5 x 70
= $245
(c)
Amount that Adam gives to Bryan
= 3.5 u
= 3.5 x 70
= $245
Answer(s): (a) $350; (b) $245; (c) $245