Bryan and Adam have some money in the ratio of 5 : 4
After Bryan gives
12 of his money to Adam,
Bryan has $120 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 |
5 u |
4 u |
9 u |
Change |
- 2.5 u |
+ 2.5 u |
|
After |
2.5 u |
6.5 u |
9 u |
The total amount that the 2 boys have remains the same.
Amount that Bryan gives to Adam
=
12 x 5 u
= 2.5 u
Amount that Bryan has less than Adam in the end
= 6.5 u - 2.5 u
= 4 u
4 u = 120
1 u = 120 ÷ 4 = 30
(a)
Amount that Adam has at first
= 4 u
= 4 x 30
= $120
(b)
Amount that Bryan has in the end
= 2.5 u
= 2.5 x 30
= $75
(c)
Amount that Bryan gives to Adam
= 2.5 u
= 2.5 x 30
= $75
Answer(s): (a) $120; (b) $75; (c) $75