Bryan and Adam have some money in the ratio of 9 : 5
After Bryan gives
12 of his money to Adam,
Bryan has $340 less than Adam 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 |
5 u |
14 u |
Change |
- 4.5 u |
+ 4.5 u |
|
After |
4.5 u |
9.5 u |
14 u |
The total amount that the 2 boys have remains the same.
Amount that Bryan gives to Adam
=
12 x 9 u
= 4.5 u
Amount that Bryan has less than Adam in the end
= 9.5 u - 4.5 u
= 5 u
5 u = 340
1 u = 340 ÷ 5 = 68
(a)
Amount that Adam has at first
= 5 u
= 5 x 68
= $340
(b)
Amount that Bryan has in the end
= 4.5 u
= 4.5 x 68
= $306
(c)
Amount that Bryan gives to Adam
= 4.5 u
= 4.5 x 68
= $306
Answer(s): (a) $340; (b) $306; (c) $306