Bryan and Adam have some money in the ratio of 8 : 5
After Bryan gives
25 of his money to Adam,
Bryan has $170 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 |
8 u |
5 u |
13 u |
Change |
- 3.2 u |
+ 3.2 u |
|
After |
4.8 u |
8.2 u |
13 u |
The total amount that the 2 boys have remains the same.
Amount that Bryan gives to Adam
=
25 x 8 u
= 3.2 u
Amount that Bryan has less than Adam in the end
= 8.2 u - 4.8 u
= 3.4 u
3.4 u = 170
1 u = 170 ÷ 3.4 = 50
(a)
Amount that Adam has at first
= 5 u
= 5 x 50
= $250
(b)
Amount that Bryan has in the end
= 4.8 u
= 4.8 x 50
= $240
(c)
Amount that Bryan gives to Adam
= 3.2 u
= 3.2 x 50
= $160
Answer(s): (a) $250; (b) $240; (c) $160