Adam and Bryan have some money in the ratio of 8 : 5
After Adam gives
15 of his money to Bryan,
Bryan has $360 more than Adam in the end.
- How much does Bryan have at first?
- How much does Adam have in the end?
- How much does Adam give to Bryan?
|
Adam |
Bryan |
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 Adam to Bryan.
Amount that Adam gives to Bryan
=
15 x 8 u
= 1.6 u
Amount that Bryan has more than Adam in the end
= 6.6 u - 6.4 u
= 0.2 u
0.2 u = 360
1 u = 360 ÷ 0.2 = 1800
(a)
Amount that Bryan has at first
= 5 u
= 5 x 1800
= $9000
(b)
Amount that Adam has in the end
= 6.4 u
= 6.4 x 1800
= $11520
(c)
Amount that Adam gives to Bryan
= 1.6 u
= 1.6 x 1800
= $2880
Answer(s): (a) $9000; (b) $11520; (c) $2880