Bryan and Adam have some money in the ratio of 9 : 2
After Bryan gives
12 of his money to Adam,
Bryan has $140 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 |
2 u |
11 u |
Change |
- 4.5 u |
+ 4.5 u |
|
After |
4.5 u |
6.5 u |
11 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
= 6.5 u - 4.5 u
= 2 u
2 u = 140
1 u = 140 ÷ 2 = 70
(a)
Amount that Adam has at first
= 2 u
= 2 x 70
= $140
(b)
Amount that Bryan has in the end
= 4.5 u
= 4.5 x 70
= $315
(c)
Amount that Bryan gives to Adam
= 4.5 u
= 4.5 x 70
= $315
Answer(s): (a) $140; (b) $315; (c) $315