Bryan and Adam have some money in the ratio of 6 : 5
After Bryan gives
15 of his money to Adam,
Adam has $140 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 |
6 u |
5 u |
11 u |
Change |
- 1.2 u |
+ 1.2 u |
|
After |
4.8 u |
6.2 u |
11 u |
The total amount remains the same because there is an internal transfer from Bryan to Adam.
Amount that Bryan gives to Adam
=
15 x 6 u
= 1.2 u
Amount that Adam has more than Bryan in the end
= 6.2 u - 4.8 u
= 1.4 u
1.4 u = 140
1 u = 140 ÷ 1.4 = 100
(a)
Amount that Adam has at first
= 5 u
= 5 x 100
= $500
(b)
Amount that Bryan has in the end
= 4.8 u
= 4.8 x 100
= $480
(c)
Amount that Bryan gives to Adam
= 1.2 u
= 1.2 x 100
= $120
Answer(s): (a) $500; (b) $480; (c) $120