Bryan and Adam have some money in the ratio of 8 : 5
After Bryan gives
15 of his money to Adam,
Adam has $290 more than Bryan 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 |
- 1.6 u |
+ 1.6 u |
|
After |
6.4 u |
6.6 u |
13 u |
The total amount remains the same because there is an internal transfer from Bryan to Adam.
Amount that Bryan gives to Adam
=
15 x 8 u
= 1.6 u
Amount that Adam has more than Bryan in the end
= 6.6 u - 6.4 u
= 0.2 u
0.2 u = 290
1 u = 290 ÷ 0.2 = 1450
(a)
Amount that Adam has at first
= 5 u
= 5 x 1450
= $7250
(b)
Amount that Bryan has in the end
= 6.4 u
= 6.4 x 1450
= $9280
(c)
Amount that Bryan gives to Adam
= 1.6 u
= 1.6 x 1450
= $2320
Answer(s): (a) $7250; (b) $9280; (c) $2320