Bryan and Adam have some money in the ratio of 7 : 4
After Bryan gives
12 of his money to Adam,
Bryan has $280 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 |
7 u |
4 u |
11 u |
Change |
- 3.5 u |
+ 3.5 u |
|
After |
3.5 u |
7.5 u |
11 u |
The total amount that the 2 boys have remains the same.
Amount that Bryan gives to Adam
=
12 x 7 u
= 3.5 u
Amount that Bryan has less than Adam in the end
= 7.5 u - 3.5 u
= 4 u
4 u = 280
1 u = 280 ÷ 4 = 70
(a)
Amount that Adam has at first
= 4 u
= 4 x 70
= $280
(b)
Amount that Bryan has in the end
= 3.5 u
= 3.5 x 70
= $245
(c)
Amount that Bryan gives to Adam
= 3.5 u
= 3.5 x 70
= $245
Answer(s): (a) $280; (b) $245; (c) $245