Adam and Bryan have some money in the ratio of 7 : 4
After Adam gives
12 of his money to Bryan,
Bryan has $160 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 |
4 u |
11 u |
Change |
- 3.5 u |
+ 3.5 u |
|
After |
3.5 u |
7.5 u |
11 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
= 7.5 u - 3.5 u
= 4 u
4 u = 160
1 u = 160 ÷ 4 = 40
(a)
Amount that Bryan has at first
= 4 u
= 4 x 40
= $160
(b)
Amount that Adam has in the end
= 3.5 u
= 3.5 x 40
= $140
(c)
Amount that Adam gives to Bryan
= 3.5 u
= 3.5 x 40
= $140
Answer(s): (a) $160; (b) $140; (c) $140