Adam and Bryan have some money in the ratio of 7 : 5
After Adam gives
15 of his money to Bryan,
Bryan has $160 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 |
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 Adam to Bryan.
Amount that Adam gives to Bryan
=
15 x 7 u
= 1.4 u
Amount that Bryan has more than Adam in the end
= 6.4 u - 5.6 u
= 0.8 u
0.8 u = 160
1 u = 160 ÷ 0.8 = 200
(a)
Amount that Bryan has at first
= 5 u
= 5 x 200
= $1000
(b)
Amount that Adam has in the end
= 5.6 u
= 5.6 x 200
= $1120
(c)
Amount that Adam gives to Bryan
= 1.4 u
= 1.4 x 200
= $280
Answer(s): (a) $1000; (b) $1120; (c) $280