Bryan and Adam have some money in the ratio of 9 : 4
After Bryan gives
12 of his money to Adam,
Adam has $360 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 |
4 u |
13 u |
Change |
- 4.5 u |
+ 4.5 u |
|
After |
4.5 u |
8.5 u |
13 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 9 u
= 4.5 u
Amount that Adam has more than Bryan in the end
= 8.5 u - 4.5 u
= 4 u
4 u = 360
1 u = 360 ÷ 4 = 90
(a)
Amount that Adam has at first
= 4 u
= 4 x 90
= $360
(b)
Amount that Bryan has in the end
= 4.5 u
= 4.5 x 90
= $405
(c)
Amount that Bryan gives to Adam
= 4.5 u
= 4.5 x 90
= $405
Answer(s): (a) $360; (b) $405; (c) $405