Bryan and Adam have some money in the ratio of 7 : 5
After Bryan gives
15 of his money to Adam,
Adam has $220 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 |
7 u |
5 u |
12 u |
Change |
- 1.4 u |
+ 1.4 u |
|
After |
5.6 u |
6.4 u |
12 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 7 u
= 1.4 u
Amount that Adam has more than Bryan in the end
= 6.4 u - 5.6 u
= 0.8 u
0.8 u = 220
1 u = 220 ÷ 0.8 = 275
(a)
Amount that Adam has at first
= 5 u
= 5 x 275
= $1375
(b)
Amount that Bryan has in the end
= 5.6 u
= 5.6 x 275
= $1540
(c)
Amount that Bryan gives to Adam
= 1.4 u
= 1.4 x 275
= $385
Answer(s): (a) $1375; (b) $1540; (c) $385