Adam and Bryan have some money in the ratio of 10 : 3
After Adam gives
34 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 |
10 u |
3 u |
13 u |
Change |
- 7.5 u |
+ 7.5 u |
|
After |
2.5 u |
10.5 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
=
34 x 10 u
= 7.5 u
Amount that Bryan has more than Adam in the end
= 10.5 u - 2.5 u
= 8 u
8 u = 160
1 u = 160 ÷ 8 = 20
(a)
Amount that Bryan has at first
= 3 u
= 3 x 20
= $60
(b)
Amount that Adam has in the end
= 2.5 u
= 2.5 x 20
= $50
(c)
Amount that Adam gives to Bryan
= 7.5 u
= 7.5 x 20
= $150
Answer(s): (a) $60; (b) $50; (c) $150