Bryan and Adam have some money in the ratio of 9 : 2
After Bryan gives
35 of his money to Adam,
Adam has $190 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 |
9 u |
2 u |
11 u |
Change |
- 5.4 u |
+ 5.4 u |
|
After |
3.6 u |
7.4 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
=
35 x 9 u
= 5.4 u
Amount that Adam has more than Bryan in the end
= 7.4 u - 3.6 u
= 3.8 u
3.8 u = 190
1 u = 190 ÷ 3.8 = 50
(a)
Amount that Adam has at first
= 2 u
= 2 x 50
= $100
(b)
Amount that Bryan has in the end
= 3.6 u
= 3.6 x 50
= $180
(c)
Amount that Bryan gives to Adam
= 5.4 u
= 5.4 x 50
= $270
Answer(s): (a) $100; (b) $180; (c) $270