Adam and Bryan have some money in the ratio of 3 : 2
After Adam gives
35 of his money to Bryan,
Adam has $260 less than Bryan 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 |
3 u |
2 u |
5 u |
Change |
- 1.8 u |
+ 1.8 u |
|
After |
1.2 u |
3.8 u |
5 u |
The total amount that the 2 boys have remains the same.
Amount that Adam gives to Bryan
=
35 x 3 u
= 1.8 u
Amount that Adam has less than Bryan in the end
= 3.8 u - 1.2 u
= 2.6 u
2.6 u = 260
1 u = 260 ÷ 2.6 = 100
(a)
Amount that Bryan has at first
= 2 u
= 2 x 100
= $200
(b)
Amount that Adam has in the end
= 1.2 u
= 1.2 x 100
= $120
(c)
Amount that Adam gives to Bryan
= 1.8 u
= 1.8 x 100
= $180
Answer(s): (a) $200; (b) $120; (c) $180