Bryan and Adam have some money in the ratio of 4 : 3
After Bryan gives
35 of his money to Adam,
Bryan has $190 less than Adam 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 |
4 u |
3 u |
7 u |
Change |
- 2.4 u |
+ 2.4 u |
|
After |
1.6 u |
5.4 u |
7 u |
The total amount that the 2 boys have remains the same.
Amount that Bryan gives to Adam
=
35 x 4 u
= 2.4 u
Amount that Bryan has less than Adam in the end
= 5.4 u - 1.6 u
= 3.8 u
3.8 u = 190
1 u = 190 ÷ 3.8 = 50
(a)
Amount that Adam has at first
= 3 u
= 3 x 50
= $150
(b)
Amount that Bryan has in the end
= 1.6 u
= 1.6 x 50
= $80
(c)
Amount that Bryan gives to Adam
= 2.4 u
= 2.4 x 50
= $120
Answer(s): (a) $150; (b) $80; (c) $120